wandb/finqa-data-processed huggingface dataset:
the contractual maturities of held-to-maturity securities as of january 30 , 2009 were in excess of three years and were $ 31.4 million at cost and $ 28.9 million at fair value , respectively . for the successor year ended january 30 , 2009 and period ended february 1 , 2008 , and the predecessor period ended july 6 , 2007 and year ended february 2 , 2007 , gross realized gains and losses on the sales of available-for-sale securities were not material . the cost of securities sold is based upon the specific identification method . merchandise inventories inventories are stated at the lower of cost or market with cost determined using the retail last-in , first-out ( 201clifo 201d ) method . under the company 2019s retail inventory method ( 201crim 201d ) , the calculation of gross profit and the resulting valuation of inventories at cost are computed by applying a calculated cost-to-retail inventory ratio to the retail value of sales at a department level . costs directly associated with warehousing and distribution are capitalized into inventory . the excess of current cost over lifo cost was approximately $ 50.0 million at january 30 , 2009 and $ 6.1 million at february 1 , 2008 . current cost is determined using the retail first-in , first-out method . the company 2019s lifo reserves were adjusted to zero at july 6 , 2007 as a result of the merger . the successor recorded lifo provisions of $ 43.9 million and $ 6.1 million during 2008 and 2007 , respectively . the predecessor recorded a lifo credit of $ 1.5 million in 2006 . in 2008 , the increased commodity cost pressures mainly related to food and pet products which have been driven by fruit and vegetable prices and rising freight costs . increases in petroleum , resin , metals , pulp and other raw material commodity driven costs also resulted in multiple product cost increases . the company intends to address these commodity cost increases through negotiations with its vendors and by increasing retail prices as necessary . on a quarterly basis , the company estimates the annual impact of commodity cost fluctuations based upon the best available information at that point in time . store pre-opening costs pre-opening costs related to new store openings and the construction periods are expensed as incurred . property and equipment property and equipment are recorded at cost . the company provides for depreciation and amortization on a straight-line basis over the following estimated useful lives: .

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land improvements	20
buildings	39-40
furniture fixtures and equipment	3-10
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improvements of leased properties are amortized over the shorter of the life of the applicable lease term or the estimated useful life of the asset. .

Question: what was the percentage change in the excess of current cost over lifo cost from 2008 to 2009 .
Program: subtract(50.0, 6.1)
Answer: 43.9
lkq corporation and subsidiaries notes to consolidated financial statements ( continued ) note 5 . long-term obligations ( continued ) as part of the consideration for business acquisitions completed during 2007 , 2006 and 2005 , we issued promissory notes totaling approximately $ 1.7 million , $ 7.2 million and $ 6.4 million , respectively . the notes bear interest at annual rates of 3.0% ( 3.0 % ) to 6.0% ( 6.0 % ) , and interest is payable at maturity or in monthly installments . we also assumed certain liabilities in connection with a business acquisition during the second quarter of 2005 , including a promissory note with a remaining principle balance of approximately $ 0.2 million . the annual interest rate on the note , which was retired during 2006 , was note 6 . commitments and contingencies operating leases we are obligated under noncancelable operating leases for corporate office space , warehouse and distribution facilities , trucks and certain equipment . the future minimum lease commitments under these leases at december 31 , 2007 are as follows ( in thousands ) : years ending december 31: .

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2008 | $ 42335
2009 | 33249
2010 | 25149
2011 | 17425
2012 | 11750
thereafter | 28581
future minimum lease payments | $ 158489
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rental expense for operating leases was approximately $ 27.4 million , $ 18.6 million and $ 12.2 million during the years ended december 31 , 2007 , 2006 and 2005 , respectively . we guaranty the residual values of the majority of our truck and equipment operating leases . the residual values decline over the lease terms to a defined percentage of original cost . in the event the lessor does not realize the residual value when a piece of equipment is sold , we would be responsible for a portion of the shortfall . similarly , if the lessor realizes more than the residual value when a piece of equipment is sold , we would be paid the amount realized over the residual value . had we terminated all of our operating leases subject to these guaranties at december 31 , 2007 , the guarantied residual value would have totaled approximately $ 24.0 million . litigation and related contingencies on december 2 , 2005 , ford global technologies , llc ( 2018 2018ford 2019 2019 ) filed a complaint with the united states international trade commission ( 2018 2018usitc 2019 2019 ) against keystone and five other named respondents , including four taiwan-based manufacturers . on december 12 , 2005 , ford filed an amended complaint . both the complaint and the amended complaint contended that keystone and the other respondents infringed 14 design patents that ford alleges cover eight parts on the 2004-2005 .

Question: what was the percentage change in rental expense from 2006 to 2007?
Program: subtract(27.4, 18.6), divide(#0, 18.6)
Answer: 0.47312
grants of restricted awards are subject to forfeiture if a grantee , among other conditions , leaves our employment prior to expiration of the restricted period . new grants of restricted awards generally vest one year after the date of grant in 25% ( 25 % ) increments over a four year period , with the exception of tsrs which vest after a three year period . the following table summarizes the changes in non-vested restricted stock awards for the years ended may 31 , 2013 and 2012 ( share awards in thousands ) : shares weighted average grant-date fair value .

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 | shares | weighted averagegrant-datefair value
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non-vested at may 31 2011 | 869 | $ 40
granted | 472 | 48
vested | -321 ( 321 ) | 40
forfeited | -79 ( 79 ) | 43
non-vested at may 31 2012 | 941 | 44
granted | 561 | 44
vested | -315 ( 315 ) | 43
forfeited | -91 ( 91 ) | 44
non-vested at may 31 2013 | 1096 | $ 44
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the total fair value of share awards vested during the years ended may 31 , 2013 , 2012 and 2011 was $ 13.6 million , $ 12.9 million and $ 10.8 million , respectively . we recognized compensation expense for restricted stock of $ 16.2 million , $ 13.6 million , and $ 12.5 million in the years ended may 31 , 2013 , 2012 and 2011 , respectively . as of may 31 , 2013 , there was $ 33.5 million of total unrecognized compensation cost related to unvested restricted stock awards that is expected to be recognized over a weighted average period of 2.5 years . employee stock purchase plan we have an employee stock purchase plan under which the sale of 2.4 million shares of our common stock has been authorized . employees may designate up to the lesser of $ 25000 or 20% ( 20 % ) of their annual compensation for the purchase of stock . the price for shares purchased under the plan is 85% ( 85 % ) of the market value on the last day of the quarterly purchase period . as of may 31 , 2013 , 1.0 million shares had been issued under this plan , with 1.4 million shares reserved for future issuance . we recognized compensation expense for the plan of $ 0.5 million in the years ended may 31 , 2013 , 2012 and 2011 . the weighted average grant-date fair value of each designated share purchased under this plan during the years ended may 31 , 2013 , 2012 and 2011 was $ 6 , $ 7 and $ 6 , respectively , which represents the fair value of the 15% ( 15 % ) discount . stock options stock options are granted at 100% ( 100 % ) of fair market value on the date of grant and have 10-year terms . stock options granted vest one year after the date of grant in 25% ( 25 % ) increments over a four year period . the plans provide for accelerated vesting under certain conditions . there were no options granted under the plans during the years ended may 31 , 2013 and may 31 , 2012. .

Question: what is the net change of the total fair value balance of non-vested shares during 2013?
Program: multiply(941, 44), multiply(1096, 44), subtract(#1, #0)
Answer: 6820.0
hologic , inc . notes to consolidated financial statements 2014 ( continued ) ( in thousands , except per share data ) future minimum lease payments under all the company 2019s operating leases are approximately as follows: .

Row 1: fiscal years ending, amount
Row 2: september 24 2005, $ 4848
Row 3: september 30 2006, 4672
Row 4: september 29 2007, 3680
Row 5: september 27 2008, 3237
Row 6: september 26 2009, 3158
Row 7: thereafter, 40764
Row 8: total ( not reduced by minimum sublease rentals of $ 165 ), $ 60359

the company subleases a portion of its bedford facility and has received rental income of $ 277 , $ 410 and $ 682 for fiscal years 2004 , 2003 and 2002 , respectively , which has been recorded as an offset to rent expense in the accompanying statements of income . rental expense , net of sublease income , was approximately $ 4660 , $ 4963 , and $ 2462 for fiscal 2004 , 2003 and 2002 , respectively . 9 . business segments and geographic information the company reports segment information in accordance with sfas no . 131 , disclosures about segments of an enterprise and related information . operating segments are identified as components of an enterprise about which separate , discrete financial information is available for evaluation by the chief operating decision maker , or decision-making group , in making decisions how to allocate resources and assess performance . the company 2019s chief decision-maker , as defined under sfas no . 131 , is the chief executive officer . to date , the company has viewed its operations and manages its business as four principal operating segments : the manufacture and sale of mammography products , osteoporosis assessment products , digital detectors and other products . as a result of the company 2019s implementation of a company wide integrated software application in fiscal 2003 , identifiable assets for the four principal operating segments only consist of inventories , intangible assets , and property and equipment . the company has presented all other assets as corporate assets . prior periods have been restated to conform to this presentation . intersegment sales and transfers are not significant. .

Question: what was the percentage change in rental expense between 2003 and 2004?
Program: subtract(4660, 4963), divide(#0, 4963)
Answer: -0.06105
comcast corporation finite-lived intangible assets estimated amortization expense of finite-lived intangible assets ( in millions ) .

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• 2016, $ 1785
• 2017, $ 1612
• 2018, $ 1365
• 2019, $ 1039
• 2020, $ 902
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finite-lived intangible assets are subject to amortization and consist primarily of customer relationships acquired in business combinations , software , cable franchise renewal costs , contractual operating rights and intellectual property rights . our finite-lived intangible assets are amortized primarily on a straight-line basis over their estimated useful life or the term of the associated agreement . we capitalize direct development costs associated with internal-use software , including external direct costs of material and services and payroll costs for employees devoting time to these software projects . we also capitalize costs associated with the purchase of software licenses . we include these costs in other intangible assets and generally amortize them on a straight-line basis over a period not to exceed five years . we expense maintenance and training costs , as well as costs incurred during the preliminary stage of a project , as they are incurred . we capitalize initial operating system software costs and amortize them over the life of the associated hardware . we evaluate the recoverability of our finite-lived intangible assets whenever events or substantive changes in circumstances indicate that the carrying amount may not be recoverable . the evaluation is based on the cash flows generated by the underlying asset groups , including estimated future operating results , trends or other determinants of fair value . if the total of the expected future undiscounted cash flows were less than the carry- ing amount of the asset group , we would recognize an impairment charge to the extent the carrying amount of the asset group exceeded its estimated fair value . unless presented separately , the impairment charge is included as a component of amortization expense . 97 comcast 2015 annual report on form 10-k .

Question: what was the ratio of the comcast corporation finite-lived intangible assets in 2016 to 2017
Program: divide(1785, 1612)
Answer: 1.10732
performance graph the performance graph below shows the five-year cumulative total stockholder return on applied common stock during the period from october 31 , 2010 through october 25 , 2015 . this is compared with the cumulative total return of the standard & poor 2019s 500 stock index and the rdg semiconductor composite index over the same period . the comparison assumes $ 100 was invested on october 31 , 2010 in applied common stock and in each of the foregoing indices and assumes reinvestment of dividends , if any . dollar amounts in the graph are rounded to the nearest whole dollar . the performance shown in the graph represents past performance and should not be considered an indication of future performance . comparison of 5 year cumulative total return* among applied materials , inc. , the s&p 500 index and the rdg semiconductor composite index *assumes $ 100 invested on 10/31/10 in stock or index , including reinvestment of dividends . indexes calculated on month-end basis . 201cs&p 201d is a registered trademark of standard & poor 2019s financial services llc , a subsidiary of the mcgraw-hill companies , inc. .

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, 10/31/2010, 10/30/2011, 10/28/2012, 10/27/2013, 10/26/2014, 10/25/2015
applied materials, 100.00, 104.54, 90.88, 155.43, 188.13, 150.26
s&p 500 index, 100.00, 108.09, 124.52, 158.36, 185.71, 195.37
rdg semiconductor composite index, 100.00, 110.04, 104.07, 136.15, 172.41, 170.40
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dividends during each of fiscal 2015 and 2014 , applied's board of directors declared four quarterly cash dividends of $ 0.10 per share . during fiscal 2013 , applied 2019s board of directors declared three quarterly cash dividends of $ 0.10 per share and one quarterly cash dividend of $ 0.09 per share . dividends paid during fiscal 2015 , 2014 and 2013 amounted to $ 487 million , $ 485 million and $ 456 million , respectively . applied currently anticipates that cash dividends will continue to be paid on a quarterly basis , although the declaration of any future cash dividend is at the discretion of the board of directors and will depend on applied 2019s financial condition , results of operations , capital requirements , business conditions and other factors , as well as a determination by the board of directors that cash dividends are in the best interests of applied 2019s stockholders . 104 136 10/31/10 10/30/11 10/28/12 10/27/13 10/26/14 10/25/15 applied materials , inc . s&p 500 rdg semiconductor composite .

Question: what is the yearly rate of return of s&p500 if the investment occurs in 2010 and it is liquidated one year later?
Program: subtract(108.09, 100), divide(#0, 100)
Answer: 0.0809
humana inc . notes to consolidated financial statements 2014 ( continued ) the total intrinsic value of stock options exercised during 2007 was $ 133.9 million , compared with $ 133.7 million during 2006 and $ 57.8 million during 2005 . cash received from stock option exercises for the years ended december 31 , 2007 , 2006 , and 2005 totaled $ 62.7 million , $ 49.2 million , and $ 36.4 million , respectively . total compensation expense related to nonvested options not yet recognized was $ 23.6 million at december 31 , 2007 . we expect to recognize this compensation expense over a weighted average period of approximately 1.6 years . restricted stock awards restricted stock awards are granted with a fair value equal to the market price of our common stock on the date of grant . compensation expense is recorded straight-line over the vesting period , generally three years from the date of grant . the weighted average grant date fair value of our restricted stock awards was $ 63.59 , $ 54.36 , and $ 32.81 for the years ended december 31 , 2007 , 2006 , and 2005 , respectively . activity for our restricted stock awards was as follows for the year ended december 31 , 2007 : shares weighted average grant-date fair value .

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, shares, weighted average grant-date fair value
nonvested restricted stock at december 31 2006, 1107455, $ 45.86
granted, 852353, 63.59
vested, -51206 ( 51206 ), 56.93
forfeited, -63624 ( 63624 ), 49.65
nonvested restricted stock at december 31 2007, 1844978, $ 53.61
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the fair value of shares vested during the years ended december 31 , 2007 , 2006 , and 2005 was $ 3.4 million , $ 2.3 million , and $ 0.6 million , respectively . total compensation expense related to nonvested restricted stock awards not yet recognized was $ 44.7 million at december 31 , 2007 . we expect to recognize this compensation expense over a weighted average period of approximately 1.4 years . there are no other contractual terms covering restricted stock awards once vested. .

Question: considering the years 2005-2007 , what is the average fair value of shares vested , in millions?
Program: add(3.4, 0.6), add(#0, 2.3), divide(#1, const_3)
Answer: 2.1
performance graph comparison of five-year cumulative total return the following graph and table compare the cumulative total return on citi 2019s common stock , which is listed on the nyse under the ticker symbol 201cc 201d and held by 65691 common stockholders of record as of january 31 , 2018 , with the cumulative total return of the s&p 500 index and the s&p financial index over the five-year period through december 31 , 2017 . the graph and table assume that $ 100 was invested on december 31 , 2012 in citi 2019s common stock , the s&p 500 index and the s&p financial index , and that all dividends were reinvested . comparison of five-year cumulative total return for the years ended date citi s&p 500 financials .

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date	citi	s&p 500	s&p financials
31-dec-2012	100.0	100.0	100.0
31-dec-2013	131.8	132.4	135.6
31-dec-2014	137.0	150.5	156.2
31-dec-2015	131.4	152.6	153.9
31-dec-2016	152.3	170.8	188.9
31-dec-2017	193.5	208.1	230.9
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.

Question: what was the difference in percentage cumulative total return for the five year period ended 31-dec-2017 of citi common stock and s&p financials?
Program: subtract(193.5, const_100), divide(#0, const_100), subtract(230.9, const_100), divide(#2, const_100), subtract(#1, #3)
Answer: -0.374
part ii item 5 . market for registrant 2019s common equity , related stockholder matters and issuer purchases of equity securities our class a common stock trades on the new york stock exchange under the symbol 201cma 201d . at february 8 , 2019 , we had 73 stockholders of record for our class a common stock . we believe that the number of beneficial owners is substantially greater than the number of record holders because a large portion of our class a common stock is held in 201cstreet name 201d by brokers . there is currently no established public trading market for our class b common stock . there were approximately 287 holders of record of our non-voting class b common stock as of february 8 , 2019 , constituting approximately 1.1% ( 1.1 % ) of our total outstanding equity . stock performance graph the graph and table below compare the cumulative total stockholder return of mastercard 2019s class a common stock , the s&p 500 financials and the s&p 500 index for the five-year period ended december 31 , 2018 . the graph assumes a $ 100 investment in our class a common stock and both of the indices and the reinvestment of dividends . mastercard 2019s class b common stock is not publicly traded or listed on any exchange or dealer quotation system . total returns to stockholders for each of the years presented were as follows : indexed returns base period for the years ended december 31 .

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• company/index, base period 2013, base period 2014, base period 2015, base period 2016, base period 2017, 2018
• mastercard, $ 100.00, $ 103.73, $ 118.05, $ 126.20, $ 186.37, $ 233.56
• s&p 500 financials, 100.00, 115.20, 113.44, 139.31, 170.21, 148.03
• s&p 500 index, 100.00, 113.69, 115.26, 129.05, 157.22, 150.33
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Question: what was the percent of the growth of the mastercard from 2013 to 2014
Program: subtract(103.73, const_100), divide(#0, const_100)
Answer: 0.0373
table of contents company stock performance the following graph shows a five-year comparison of cumulative total shareholder return , calculated on a dividend reinvested basis , for the company , the s&p 500 index , the s&p computer hardware index , and the dow jones u.s . technology supersector index . the graph assumes $ 100 was invested in each of the company 2019s common stock , the s&p 500 index , the s&p computer hardware index , and the dow jones u.s . technology supersector index as of the market close on september 30 , 2008 . data points on the graph are annual . note that historic stock price performance is not necessarily indicative of future stock price performance . fiscal year ending september 30 . copyright 2013 s&p , a division of the mcgraw-hill companies inc . all rights reserved . copyright 2013 dow jones & co . all rights reserved . *$ 100 invested on 9/30/08 in stock or index , including reinvestment of dividends . september 30 , september 30 , september 30 , september 30 , september 30 , september 30 .

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 | september 30 2008 | september 30 2009 | september 30 2010 | september 30 2011 | september 30 2012 | september 30 2013
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apple inc . | $ 100 | $ 163 | $ 250 | $ 335 | $ 589 | $ 431
s&p 500 index | $ 100 | $ 93 | $ 103 | $ 104 | $ 135 | $ 161
s&p computer hardware index | $ 100 | $ 118 | $ 140 | $ 159 | $ 255 | $ 197
dow jones us technology supersector index | $ 100 | $ 111 | $ 124 | $ 128 | $ 166 | $ 175
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Question: by how much did apple inc . outperform the s&p computer hardware index over the above mentioned 6 year period?
Program: subtract(431, 100), divide(#0, 100), subtract(197, 100), divide(#2, 100), subtract(#1, #3)
Answer: 2.34