DOLLAR GENERAL CORPORATION AND SUBSIDIARIES NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (Continued) 3.
Merger (Continued) Merger as a subsidiary of Buck.
The Company’s results of operations after July 6, 2007 include the effects of the Merger.
The aggregate purchase price was approximately $7.1 billion, including direct costs of the Merger, and was funded primarily through debt financings as described more fully below in Note 7 and cash equity contributions from KKR, GS Capital Partners VI Fund, L. P.  and affiliated funds (affiliates of Goldman, Sachs & Co. ), and other equity co-investors (collectively, the ‘‘Investors’’ of approximately $2.8 billion (316.2 million shares of new common stock, $0.875 par value per share, valued at $8.75 per share).
Also in connection with the Merger, certain of the Company’s management employees invested in and were issued new shares, representing less than 1% of the outstanding shares, in the Company.
Pursuant to the terms of the Merger Agreement, the former holders of the Predecessor’s common stock, par value $0.50 per share, received $22.00 per share, or approximately $6.9 billion, and all such shares were acquired as a result of the Merger.
As discussed in Note 1, the Merger was accounted for as a reverse acquisition in accordance with applicable purchase accounting provisions.
Because of this accounting treatment, the Company’s assets and liabilities have properly been accounted for at their estimated fair values as of the Merger date.
The aggregate purchase price has been allocated to the tangible and intangible assets acquired and liabilities assumed based upon an assessment of their relative fair values as of the Merger date.
The allocation of the purchase price is as follows (in thousands):
## Table 0 ##
The purchase price allocation included approximately $4.34 billion of goodwill, none of which is expected to be deductible for tax purposes.
The goodwill balance at January 30, 2009 decreased $6.3 million from the balance at February 1, 2008 due to an adjustment to income tax contingencies as further discussed in Note 6.
Restricted stock units (RSUs) granted typically vest based on continued service.
We value these time-based RSUs at the date of grant using the intrinsic value method, adjusted for estimated forfeitures.
We amortize the fair value of time-based RSUs on a straight-line basis adjusted for estimated forfeitures over the service period.
Certain RSUs granted to senior management vest based on the achievement of pre-established performance or market goals.
We estimate the fair value of performance-based RSUs at the date of grant using the intrinsic value method and the probability that the specified performance criteria will be met, adjusted for estimated forfeitures.
Each quarter we update our assessment of the probability that the specified performance criteria will be achieved and adjust our estimate of the fair value of the performance-based RSUs if necessary.
We amortize the fair values of performance-based RSUs over the requisite service period adjusted for estimated forfeitures for each separately vesting tranche of the award.
We estimate the fair value of market-based RSUs at the date of grant using a Monte Carlo valuation methodology and amortize those fair values over the requisite service period adjusted for estimated forfeitures for each separately vesting tranche of the award.
The Monte Carlo methodology that we use to estimate the fair value of marketbased RSUs at the date of grant incorporates into the valuation the possibility that the market condition may not be satisfied.
Provided that the requisite service is rendered, the total fair value of the market-based RSUs at the date of grant must be recognized as compensation expense even if the market condition is not achieved.
However, the number of shares that ultimately vest can vary significantly with the performance of the specified market criteria.
All of the RSUs we grant have dividend rights that are subject to the same vesting requirements as the underlying equity awards, so we do not adjust the market price of our stock on the date of grant for dividends.
Expected Term.
The expected term of options granted represents the period of time that they are expected to be outstanding and is a derived output of the lattice binomial model.
The expected term of stock options is impacted by all of the underlying assumptions and calibration of our model.
The lattice binomial model assumes that option exercise behavior is a function of the option’s remaining vested life and the extent to which the market price of our common stock exceeds the option exercise price.
The lattice binomial model estimates the probability of exercise as a function of these two variables based on the history of exercises and cancellations on all past option grants made by us.
Expected Volatility.
We estimate the volatility of our common stock at the date of grant based on the implied volatility of oneyear and two-year publicly traded options on our common stock.
Our decision to use implied volatility was based upon the availability of actively traded options on our common stock and our assessment that implied volatility is more representative of future stock price trends than historical volatility.
Risk-Free Interest Rate.
We base the risk-free interest rate that we use in our option valuation model on the implied yield in effect at the time of option grant on constant maturity U. S.  Treasury issues with equivalent remaining terms.
Dividends.
We use an annualized expected dividend yield in our option valuation model.
We paid quarterly cash dividends during fiscal 2015, fiscal 2014, and fiscal 2013 and currently expect to continue to pay cash dividends in the future.
Forfeitures.
We estimate forfeitures at the time of grant and revise those estimates in subsequent periods if actual forfeitures differ from those estimates.
We use historical data to estimate pre-vesting option forfeitures and record share-based compensation expense only for those awards that are expected to vest.
We used the following assumptions to estimate the fair value of stock options granted and shares purchased under our Employee Stock Purchase Plan for the periods indicated:
## Table 1 ##
15.
Selected Quarterly Financial Data (Unaudited) The following tables contain selected quarterly financial data for the twelve months ended July 31, 2015 and July 31, 2014.
We have classified our Demandforce, QuickBase, Quicken, Intuit Financial Services, Intuit Health, and Intuit Websites businesses as discontinued operations and as a result have segregated their operating results from continuing operations in our statements of operations and in these tables.
See Note 7, “Discontinued Operations,” for more information.
## Table 2 ##
Fiscal 2014 Quarter Ended
## Table 3 ##

Tables referenced above, in order (Table 0 first):
<table><tr><td>Cash and cash equivalents</td><td>$349,615</td></tr><tr><td>Short-term investments</td><td>30,906</td></tr><tr><td>Merchandise inventories</td><td>1,368,130</td></tr><tr><td>Income taxes receivable</td><td>40,199</td></tr><tr><td>Deferred income taxes</td><td>57,176</td></tr><tr><td>Prepaid expenses and other current assets</td><td>63,204</td></tr><tr><td>Property and equipment, net</td><td>1,301,119</td></tr><tr><td>Goodwill</td><td>4,338,589</td></tr><tr><td>Intangible assets</td><td>1,396,612</td></tr><tr><td>Other assets, net</td><td>66,537</td></tr><tr><td>Current portion of long-term obligations</td><td>-7,088</td></tr><tr><td>Accounts payable</td><td>-585,518</td></tr><tr><td>Accrued expenses and other</td><td>-306,394</td></tr><tr><td>Income taxes payable</td><td>-84</td></tr><tr><td>Long-term obligations</td><td>-267,927</td></tr><tr><td>Deferred income taxes</td><td>-540,675</td></tr><tr><td>Other liabilities</td><td>-208,710</td></tr><tr><td>Total purchase price assigned</td><td>$7,095,691</td></tr></table>
<table><tr><td></td><td colspan="3">Twelve Months Ended July 31,</td></tr><tr><td></td><td>2015</td><td>2014</td><td>2013</td></tr><tr><td>Assumptions for stock options:</td><td></td><td></td><td></td></tr><tr><td>Expected volatility (range)</td><td>22% - 24%</td><td>22% - 24%</td><td>22% - 27%</td></tr><tr><td>Weighted average expected volatility</td><td>23%</td><td>23%</td><td>23%</td></tr><tr><td>Risk-free interest rate (range)</td><td>1.13% - 1.47%</td><td>1.01% - 1.40%</td><td>0.49% - 1.05%</td></tr><tr><td>Expected dividend yield</td><td>0.93% - 1.05%</td><td>0.92% - 1.06%</td><td>1.02% - 1.18%</td></tr><tr><td>Assumptions for ESPP:</td><td></td><td></td><td></td></tr><tr><td>Expected volatility (range)</td><td>20% - 23%</td><td>19% - 22%</td><td>20% - 24%</td></tr><tr><td>Weighted average expected volatility</td><td>21%</td><td>21%</td><td>22%</td></tr><tr><td>Risk-free interest rate (range)</td><td>0.01% - 0.15%</td><td>0.02% - 0.08%</td><td>0.05% - 0.11%</td></tr><tr><td>Expected dividend yield</td><td>0.96% - 1.19%</td><td>0.94% - 1.15%</td><td>1.04% - 1.17%</td></tr></table>
<table><tr><td></td><td colspan="4">Fiscal 2015 Quarter Ended</td></tr><tr><td>(In millions, except per share amounts)</td><td>October 31</td><td>January 31</td><td>April 30</td><td>July 31</td></tr><tr><td>Total net revenue</td><td>$612</td><td>$749</td><td>$2,135</td><td>$696</td></tr><tr><td>Cost of revenue</td><td>159</td><td>188</td><td>202</td><td>176</td></tr><tr><td>All other costs and expenses</td><td>562</td><td>650</td><td>867</td><td>650</td></tr><tr><td>Operating income (loss) from continuing operations</td><td>-109</td><td>-89</td><td>1,066</td><td>-130</td></tr><tr><td>Net income (loss) from continuing operations</td><td>-81</td><td>-60</td><td>656</td><td>-102</td></tr><tr><td>Net income (loss) from discontinued operations</td><td>-3</td><td>-6</td><td>-155</td><td>116</td></tr><tr><td>Net income (loss)</td><td>-84</td><td>-66</td><td>501</td><td>14</td></tr><tr><td>Basic net income (loss) per share from continuing operations</td><td>$-0.28</td><td>$-0.21</td><td>$2.37</td><td>$-0.37</td></tr><tr><td>Basic net income (loss) per share from discontinued operations</td><td>-0.01</td><td>-0.02</td><td>-0.56</td><td>0.42</td></tr><tr><td>Basic net income (loss) per share</td><td>$-0.29</td><td>$-0.23</td><td>$1.81</td><td>$0.05</td></tr><tr><td>Diluted net income (loss) per share from continuing operations</td><td>$-0.28</td><td>$-0.21</td><td>$2.33</td><td>$-0.37</td></tr><tr><td>Diluted net income (loss) per share from discontinued operations</td><td>-0.01</td><td>-0.02</td><td>-0.55</td><td>0.42</td></tr><tr><td>Diluted net income (loss) per share</td><td>$-0.29</td><td>$-0.23</td><td>$1.78</td><td>$0.05</td></tr></table>
<table><tr><td></td><td colspan="4">Fiscal 2014 Quarter Ended</td></tr><tr><td>(In millions, except per share amounts)</td><td>October 31</td><td>January 31</td><td>April 30</td><td>July 31</td></tr><tr><td>Total net revenue</td><td>$565</td><td>$711</td><td>$2,318</td><td>$649</td></tr><tr><td>Cost of revenue</td><td>133</td><td>164</td><td>158</td><td>166</td></tr><tr><td>All other costs and expenses</td><td>509</td><td>602</td><td>673</td><td>538</td></tr><tr><td>Operating income (loss) from continuing operations</td><td>-77</td><td>-55</td><td>1,487</td><td>-55</td></tr><tr><td>Net income (loss) from continuing operations</td><td>-57</td><td>-42</td><td>980</td><td>-28</td></tr><tr><td>Net income (loss) from discontinued operations</td><td>46</td><td>5</td><td>4</td><td>-1</td></tr><tr><td>Net income (loss)</td><td>-11</td><td>-37</td><td>984</td><td>-29</td></tr><tr><td>Basic net income (loss) per share from continuing operations</td><td>$-0.20</td><td>$-0.15</td><td>$3.45</td><td>$-0.10</td></tr><tr><td>Basic net income (loss) per share from discontinued operations</td><td>0.16</td><td>0.02</td><td>0.02</td><td>—</td></tr><tr><td>Basic net income (loss) per share</td><td>$-0.04</td><td>$-0.13</td><td>$3.47</td><td>$-0.10</td></tr><tr><td>Diluted net income (loss) per share from continuing operations</td><td>$-0.20</td><td>$-0.15</td><td>$3.38</td><td>$-0.10</td></tr><tr><td>Diluted net income (loss) per share from discontinued operations</td><td>0.16</td><td>0.02</td><td>0.01</td><td>—</td></tr><tr><td>Diluted net income (loss) per share</td><td>$-0.04</td><td>$-0.13</td><td>$3.39</td><td>$-0.10</td></tr></table>

Question: What is the ratio of all October 31 that are smaller than -80 to the sum of October 31 in 2015?
Answer: -0.16675
Reasoning program: subtract(-81,109), subtract(-0.29,0.29), subtract(#1,84), subtract(#2,109), add(#3,562), add(#4,159), add(#5,612), divide(#0,#6)