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Share-Based Payments (Tables) | 6 Months Ended
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Feb. 13, 2021
Share-Based Payments |
Weighted Average for Key Assumptions Used in Determining Fair Value of Options Granted and Related Share-Based Compensation Expense | The weighted average fair value of the stock option awards granted during the twenty-four week periods ended February 13, 2021 and February 15, 2020, using the Black-Scholes-Merton multiple-option pricing valuation model, was $299.86 and $252.39 per share, respectively, using the following weighted average key assumptions: ​
​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Twenty-Four Weeks Ended
​ |  | February 13, |  | February 15, |
​ |  | 2021 | ​ | 2020 | ​
​ | ​ | ​ | ​ | ​ | ​
Expected price volatility |  | 28 | % | 22 | %
Risk-free interest rate |  | 0.4 | % | 1.4 | %
Weighted average expected lives (in years) |  | 5.6 |  | 5.5 |
Forfeiture rate |  | 10 | % | 10 | %
Dividend yield |  | 0 | % | 0 | %
Schedule of Nonvested Restricted Stock Units Activity | Transactions related to restricted stock units for the twenty-four weeks ended February 13, 2021 were as follows: ​
​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | ​ | Weighted-
​ |  | Number |  | Average Grant
​ | ​ | of Shares | ​ | Date Fair Value
​ | ​ | ​ | ​ | ​ | ​
Nonvested at August 29, 2020 |  | 14,160 | ​ | $ | 910.63
Granted |  | 8,064 | ​ | ​ | 1,149.77
Vested |  | (5,805) | ​ |  | 977.48
Canceled or forfeited |  | (78) | ​ |  | 1,008.34
Nonvested at February 13, 2021 |  | 16,341 | ​ | $ | 1,003.98

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- Definition Tabular disclosure of the changes in outstanding nonvested restricted stock units. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(2) -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 + Details
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- Definition Tabular disclosure of the significant assumptions used during the year to estimate the fair value of stock options, including, but not limited to: (a) expected term of share options and similar instruments, (b) expected volatility of the entity's shares, (c) expected dividends, (d) risk-free rate(s), and (e) discount for post-vesting restrictions. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (f)(2) -URI http://asc.fasb.org/extlink&oid=116856206&loc=d3e5070-113901 + Details
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