wandb/finqa-data-processed huggingface dataset:
notes to consolidated financial statements 2014 ( continued ) becton , dickinson and company ( b ) these reclassifications were recorded to interest expense and cost of products sold . additional details regarding the company's cash flow hedges are provided in note 13 . on august 25 , 2016 , in anticipation of proceeds to be received from the divestiture of the respiratory solutions business in the first quarter of fiscal year 2017 , the company entered into an accelerated share repurchase ( "asr" ) agreement . subsequent to the end of the company's fiscal year 2016 and as per the terms of the asr agreement , the company received approximately 1.3 million shares of its common stock , which was recorded as a $ 220 million increase to common stock in treasury . note 4 2014 earnings per share the weighted average common shares used in the computations of basic and diluted earnings per share ( shares in thousands ) for the years ended september 30 were as follows: .

• , 2016, 2015, 2014
• average common shares outstanding, 212702, 202537, 193299
• dilutive share equivalents from share-based plans, 4834, 4972, 4410
• average common and common equivalent shares outstanding 2014 assuming dilution, 217536, 207509, 197709

average common and common equivalent shares outstanding 2014 assuming dilution 217536 207509 197709 upon closing the acquisition of carefusion corporation ( 201ccarefusion 201d ) on march 17 , 2015 , the company issued approximately 15.9 million of its common shares as part of the purchase consideration . additional disclosures regarding this acquisition are provided in note 9 . options to purchase shares of common stock are excluded from the calculation of diluted earnings per share when their inclusion would have an anti-dilutive effect on the calculation . for the years ended september 30 , 2016 , 2015 and 2014 there were no options to purchase shares of common stock which were excluded from the diluted earnings per share calculation. .

Question: as of september 30 ,2014 what was the percent of the total average common and common equivalent shares outstanding 2014 assuming dilution that was dilute share equivalents from share-based plans
Program: divide(4410, 197709)
Answer: 0.02231
the following graph compares the cumulative 5-year total return to shareholders of cadence design systems , inc . 2019s common stock relative to the cumulative total returns of the s & p 500 index , the nasdaq composite index and the s & p information technology index . the graph assumes that the value of the investment in the company 2019s common stock and in each of the indexes ( including reinvestment of dividends ) was $ 100 on december 29 , 2001 and tracks it through december 30 , 2006 . comparison of 5 year cumulative total return* among cadence design systems , inc. , the s & p 500 index , the nasdaq composite index and the s & p information technology index 12/30/0612/31/051/1/051/3/0412/28/0212/29/01 cadence design systems , inc . nasdaq composite s & p information technology s & p 500 * $ 100 invested on 12/29/01 in stock or on 12/31/01 in index-incuding reinvestment of dividends . indexes calculated on month-end basis . copyright b7 2007 , standard & poor 2019s , a division of the mcgraw-hill companies , inc . all rights reserved . www.researchdatagroup.com/s&p.htm december 29 , december 28 , january 3 , january 1 , december 31 , december 30 .

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	december 29 2001	december 28 2002	january 3 2004	january 1 2005	december 31 2005	december 30 2006
cadence design systems inc .	100.00	54.38	81.52	61.65	75.54	79.96
s & p 500	100.00	77.90	100.24	111.15	116.61	135.03
nasdaq composite	100.00	71.97	107.18	117.07	120.50	137.02
s & p information technology	100.00	62.59	92.14	94.50	95.44	103.47
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.

Question: what was the percentage cumulative 5-year total return to shareholders of cadence design systems , inc . 2019s common stock for the period ended december 30 , 2006?
Program: subtract(79.96, const_100), divide(#0, const_100)
Answer: -0.2004
shareholder return performance the line graph below compares the annual percentage change in ball corporation fffds cumulative total shareholder return on its common stock with the cumulative total return of the dow jones containers & packaging index and the s&p composite 500 stock index for the five-year period ended december 31 , 2011 . it assumes $ 100 was invested on december 31 , 2006 , and that all dividends were reinvested . the dow jones containers & packaging index total return has been weighted by market capitalization . total return to stockholders ( assumes $ 100 investment on 12/31/06 ) total return analysis .

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 | 12/31/2006 | 12/31/2007 | 12/31/2008 | 12/31/2009 | 12/31/2010 | 12/31/2011
ball corporation | $ 100.00 | $ 104.05 | $ 97.04 | $ 121.73 | $ 161.39 | $ 170.70
dj us containers & packaging | $ 100.00 | $ 106.73 | $ 66.91 | $ 93.98 | $ 110.23 | $ 110.39
s&p 500 | $ 100.00 | $ 105.49 | $ 66.46 | $ 84.05 | $ 96.71 | $ 98.75
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copyright a9 2012 standard & poor fffds , a division of the mcgraw-hill companies inc . all rights reserved . ( www.researchdatagroup.com/s&p.htm ) copyright a9 2012 dow jones & company . all rights reserved. .

Question: what is the roi of an investment in ball corporation from 2006 to 2008?
Program: subtract(97.04, const_100), divide(#0, const_100)
Answer: -0.0296
( 3 ) refer to note 2 201csummary of significant accounting principles and practices 201d for further information . 13 . employee benefitsp y defined contribution savings plans aon maintains defined contribution savings plans for the benefit of its employees . the expense recognized for these plans is included in compensation and benefits in the consolidated statements of income . the expense for the significant plans in the u.s. , u.k. , netherlands and canada is as follows ( in millions ) : .

years ended december 31 | 2018 | 2017 | 2016
u.s . | $ 98 | $ 105 | $ 121
u.k . | 45 | 43 | 43
netherlands and canada | 25 | 25 | 27
total | $ 168 | $ 173 | $ 191

pension and other postretirement benefits the company sponsors defined benefit pension and postretirement health and welfare plans that provide retirement , medical , and life insurance benefits . the postretirement health care plans are contributory , with retiree contributions adjusted annually , and the aa life insurance and pension plans are generally noncontributory . the significant u.s. , u.k. , netherlands and canadian pension plans are closed to new entrants. .

Question: what was the change in the total benefits from 2017 to 2018 in millions
Program: subtract(168, 173)
Answer: -5.0
additionally , in october 2013 , our board of directors declared a quarterly cash dividend of $ 0.40 per share of class a common stock ( determined in the case of class b and c common stock , on an as-converted basis ) payable on december 3 , 2013 , to holders of record as of november 15 , 2013 of our class a , b and c common stock . subject to legally available funds , we expect to continue paying quarterly cash dividends on our outstanding class a , b and c common stock in the future . however , the declaration and payment of future dividends is at the sole discretion of our board of directors after taking into account various factors , including , but not limited to , our financial condition , settlement indemnifications , operating results , available cash and current and anticipated cash needs . issuer purchases of equity securities the table below sets forth the information with respect to purchases of the company 2019s common stock made by or on behalf of the company during the quarter ended september 30 , 2013 . period number of shares purchased ( 1 ) average price paid per share number of shares purchased as part of publicly announced plans or programs ( 2 ) approximate dollar value of shares that may yet be purchased under the plans or programs ( 2 ) .

period | ( a ) totalnumber ofsharespurchased ( 1 ) | ( b ) averageprice paidper share | ( c ) totalnumber ofsharespurchasedas part ofpubliclyannouncedplans orprograms ( 2 ) | ( d ) approximatedollar valueof shares thatmay yet bepurchasedunder the plans orprograms ( 2 )
----------|----------|----------|----------|----------
july 1-31 2013 | 745148 | $ 183.69 | 744500 | $ 1424252596
august 1-31 2013 | 6640563 | $ 176.78 | 6638189 | $ 250658812
september 1-30 2013 | 2014 | $ 2014 | 2014 | $ 250658812
total | 7385711 | $ 177.47 | 7382689 | 

( 1 ) includes 3022 shares of class a common stock withheld at an average price of $ 182.50 per share ( per the terms of grants under the visa 2007 equity incentive compensation plan ) to offset tax withholding obligations that occur upon vesting and release of restricted shares . ( 2 ) the figures in the table reflect transactions according to the trade dates . for purposes of our consolidated financial statements included in this form 10-k , the impact of these repurchases is recorded according to the settlement dates . in october 2013 , the company 2019s board of directors authorized an additional $ 5.0 billion share repurchase program. .

Question: for the quarter ended september 30 , 2013 what was the total number of shares purchased in august
Program: divide(6640563, 7385711)
Answer: 0.89911
consolidated costs and expenses the following graph illustrates the contributions to the increases in consolidated operating costs and expenses by our cable communications and nbcuniversal segments , as well as our corporate and other activities . $ 43000 $ 44000 $ 45000 $ 46000 $ 47000 $ 48000 $ 50000 $ 49000 2013 2015cable communications segment nbcuniversal segments corporate and other 2014 cable communications segment nbcuniversal segments corporate and other $ 43223 $ 1397 $ 41 $ 49832 $ 310 $ 45852 $ 1731 $ 2208 our consolidated operating costs and expenses in 2015 included expenses associated with our broadcast of the 2015 super bowl and our larger film slate , both of which are included in our nbcuniversal segments . our consolidated operating costs and expenses in 2014 included expenses associated with our broadcast of the 2014 sochi olympics , which is reported in our nbcuniversal segments . our consolidated operating costs and expenses also included transaction-related costs associated with the time warner cable merger and the related divestiture transactions of $ 178 million and $ 237 million in 2015 and 2014 , respectively , which is included in corporate and other . on april 24 , 2015 , we and time warner cable inc . terminated our planned merger and we terminated our related agreement with charter communications , inc . to spin off , exchange and sell certain cable systems . operating costs and expenses for our segments is discussed separately below under the heading 201csegment operating results . 201d operating costs and expenses for our other businesses is discussed separately below under the heading 201ccorporate and other results of operations . 201d consolidated depreciation and amortization year ended december 31 ( in millions ) 2015 2014 2013 % (  % ) change 2014 to 2015 % (  % ) change 2013 to 2014 .

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year ended december 31 ( in millions ) | 2015 | 2014 | 2013 | % (  % ) change 2014 to 2015 | % (  % ) change 2013 to 2014
----------|----------|----------|----------|----------|----------
cable communications | $ 7028 | $ 6422 | $ 6394 | 9.4% ( 9.4 % ) | 0.4% ( 0.4 % )
nbcuniversal | 1539 | 1495 | 1411 | 2.9 | 5.9
corporate and other | 113 | 102 | 66 | 10.3 | 58.1
comcast consolidated | $ 8680 | $ 8019 | $ 7871 | 8.2% ( 8.2 % ) | 1.9% ( 1.9 % )
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consolidated depreciation and amortization expenses increased in 2015 primarily due to increases in capital expenditures , as well as expenditures for software , in our cable communications segment in recent years . we continue to invest in customer premise equipment , primarily for our x1 platform , wireless gateways and cloud dvr technology , and in equipment to increase our network capacity . in addition , because these assets generally have shorter estimated useful lives , our depreciation expenses have increased , which we expect will 47 comcast 2015 annual report on form 10-k .

Question: what was the ratio of the operating costs and expenses for cable communications compared to nbcuniversal in 2015
Program: divide(7028, 1539)
Answer: 4.5666
american tower corporation and subsidiaries notes to consolidated financial statements the valuation allowance increased from $ 47.8 million as of december 31 , 2009 to $ 48.2 million as of december 31 , 2010 . the increase was primarily due to valuation allowances on foreign loss carryforwards . at december 31 , 2010 , the company has provided a valuation allowance of approximately $ 48.2 million which primarily relates to state net operating loss carryforwards , equity investments and foreign items . the company has not provided a valuation allowance for the remaining deferred tax assets , primarily its federal net operating loss carryforwards , as management believes the company will have sufficient taxable income to realize these federal net operating loss carryforwards during the twenty-year tax carryforward period . valuation allowances may be reversed if related deferred tax assets are deemed realizable based on changes in facts and circumstances relevant to the assets 2019 recoverability . the recoverability of the company 2019s remaining net deferred tax asset has been assessed utilizing projections based on its current operations . the projections show a significant decrease in depreciation in the later years of the carryforward period as a result of a significant portion of its assets being fully depreciated during the first fifteen years of the carryforward period . accordingly , the recoverability of the net deferred tax asset is not dependent on material improvements to operations , material asset sales or other non-routine transactions . based on its current outlook of future taxable income during the carryforward period , management believes that the net deferred tax asset will be realized . the company 2019s deferred tax assets as of december 31 , 2010 and 2009 in the table above do not include $ 122.1 million and $ 113.9 million , respectively , of excess tax benefits from the exercises of employee stock options that are a component of net operating losses . total stockholders 2019 equity as of december 31 , 2010 will be increased by $ 122.1 million if and when any such excess tax benefits are ultimately realized . at december 31 , 2010 , the company had net federal and state operating loss carryforwards available to reduce future federal and state taxable income of approximately $ 1.2 billion , including losses related to employee stock options of $ 0.3 billion . if not utilized , the company 2019s net operating loss carryforwards expire as follows ( in thousands ) : .

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Row 1: years ended december 31,, federal, state, foreign
Row 2: 2011 to 2015, $ 2014, $ 2014, $ 503
Row 3: 2016 to 2020, 2014, 331315, 5509
Row 4: 2021 to 2025, 774209, 576780, 2014
Row 5: 2026 to 2030, 423398, 279908, 92412
Row 6: total, $ 1197607, $ 1188003, $ 98424
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in addition , the company has mexican tax credits of $ 5.2 million which if not utilized would expire in 2017. .

Question: at december 2010 what was the percent of the losses related to employee stock options included in the net federal operating loss carry forwards
Program: divide(0.3, 1.2)
Answer: 0.25
the aes corporation notes to consolidated financial statements 2014 ( continued ) december 31 , 2012 , 2011 , and 2010 ( 1 ) a u.s . subsidiary of the company has a defined benefit obligation of $ 764 million and $ 679 million as of december 31 , 2012 and 2011 , respectively , and uses salary bands to determine future benefit costs rather than rates of compensation increases . rates of compensation increases in the table above do not include amounts related to this specific defined benefit plan . ( 2 ) includes an inflation factor that is used to calculate future periodic benefit cost , but is not used to calculate the benefit obligation . the company establishes its estimated long-term return on plan assets considering various factors , which include the targeted asset allocation percentages , historic returns and expected future returns . the measurement of pension obligations , costs and liabilities is dependent on a variety of assumptions . these assumptions include estimates of the present value of projected future pension payments to all plan participants , taking into consideration the likelihood of potential future events such as salary increases and demographic experience . these assumptions may have an effect on the amount and timing of future contributions . the assumptions used in developing the required estimates include the following key factors : 2022 discount rates ; 2022 salary growth ; 2022 retirement rates ; 2022 inflation ; 2022 expected return on plan assets ; and 2022 mortality rates . the effects of actual results differing from the company 2019s assumptions are accumulated and amortized over future periods and , therefore , generally affect the company 2019s recognized expense in such future periods . sensitivity of the company 2019s pension funded status to the indicated increase or decrease in the discount rate and long-term rate of return on plan assets assumptions is shown below . note that these sensitivities may be asymmetric and are specific to the base conditions at year-end 2012 . they also may not be additive , so the impact of changing multiple factors simultaneously cannot be calculated by combining the individual sensitivities shown . the funded status as of december 31 , 2012 is affected by the assumptions as of that date . pension expense for 2012 is affected by the december 31 , 2011 assumptions . the impact on pension expense from a one percentage point change in these assumptions is shown in the table below ( in millions ) : .

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increase of 1% ( 1 % ) in the discount rate | $ -48 ( 48 )
decrease of 1% ( 1 % ) in the discount rate | 38
increase of 1% ( 1 % ) in the long-term rate of return on plan assets | -47 ( 47 )
decrease of 1% ( 1 % ) in the long-term rate of return on plan assets | 47
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.

Question: what was the net reduction in defined benefit obligations between december 31 , 2012 and 2011 , in millions?
Program: subtract(764, 679)
Answer: 85.0
five-year performance comparison 2013 the following graph provides an indicator of cumulative total shareholder returns for the corporation as compared to the peer group index ( described above ) , the dj trans , and the s&p 500 . the graph assumes that $ 100 was invested in the common stock of union pacific corporation and each index on december 31 , 2007 and that all dividends were reinvested . purchases of equity securities 2013 during 2012 , we repurchased 13804709 shares of our common stock at an average price of $ 115.33 . the following table presents common stock repurchases during each month for the fourth quarter of 2012 : period total number of shares purchased [a] average price paid per share total number of shares purchased as part of a publicly announced plan or program [b] maximum number of shares that may yet be purchased under the plan or program [b] .

period | total number ofsharespurchased [a] | averageprice paidper share | total number of sharespurchased as part of apublicly announced planor program [b] | maximum number ofshares that may yetbe purchased under the planor program [b]
oct . 1 through oct . 31 | 1068414 | 121.70 | 1028300 | 16041399
nov . 1 through nov . 30 | 659631 | 120.84 | 655000 | 15386399
dec . 1 through dec . 31 | 411683 | 124.58 | 350450 | 15035949
total | 2139728 | $ 121.99 | 2033750 | n/a

[a] total number of shares purchased during the quarter includes approximately 105978 shares delivered or attested to upc by employees to pay stock option exercise prices , satisfy excess tax withholding obligations for stock option exercises or vesting of retention units , and pay withholding obligations for vesting of retention shares . [b] on april 1 , 2011 , our board of directors authorized the repurchase of up to 40 million shares of our common stock by march 31 , 2014 . these repurchases may be made on the open market or through other transactions . our management has sole discretion with respect to determining the timing and amount of these transactions. .

Question: what portion of the 2011 plan repurchases were repurchased in 2012?
Program: multiply(40, const_1000000), divide(13804709, #0)
Answer: 0.34512
kendal vroman , 39 mr . vroman has served as our managing director , commodity products , otc services & information products since february 2010 . mr . vroman previously served as managing director and chief corporate development officer from 2008 to 2010 . mr . vroman joined us in 2001 and since then has held positions of increasing responsibility , including most recently as managing director , corporate development and managing director , information and technology services . scot e . warren , 47 mr . warren has served as our managing director , equity index products and index services since february 2010 . mr . warren previously served as our managing director , equity products since joining us in 2007 . prior to that , mr . warren worked for goldman sachs as its president , manager trading and business analysis team . prior to goldman sachs , mr . warren managed equity and option execution and clearing businesses for abn amro in chicago and was a senior consultant for arthur andersen & co . for financial services firms . financial information about geographic areas due to the nature of its business , cme group does not track revenues based upon geographic location . we do , however , track trading volume generated outside of traditional u.s . trading hours and through our international telecommunication hubs . our customers can directly access our exchanges throughout the world . the following table shows the percentage of our total trading volume on our globex electronic trading platform generated during non-u.s . hours and through our international hubs. .

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, 2010, 2009, 2008
trading during non-u.s . hours, 13% ( 13 % ), 9% ( 9 % ), 11% ( 11 % )
trading through telecommunication hubs, 8, 7, 8
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available information our web site is www.cmegroup.com . information made available on our web site does not constitute part of this document . we make available on our web site our annual reports on form 10-k , quarterly reports on form 10-q , current reports on form 8-k and amendments to those reports as soon as reasonably practicable after we electronically file or furnish such materials to the sec . our corporate governance materials , including our corporate governance principles , director conflict of interest policy , board of directors code of ethics , categorical independence standards , employee code of conduct and the charters for all the standing committees of our board , may also be found on our web site . copies of these materials are also available to shareholders free of charge upon written request to shareholder relations and member services , attention ms . beth hausoul , cme group inc. , 20 south wacker drive , chicago , illinois 60606. .

Question: what is the increase percentage of trading during the us hours between 2008 and 2009?
Program: subtract(const_100, 11), subtract(const_100, 9), subtract(#1, #0)
Answer: 2.0