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Share-Based Payments (Tables) | 3 Months Ended
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Nov. 21, 2020
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 twelve week periods ended November 21, 2020 and November 23, 2019, using the Black-Scholes-Merton multiple-option pricing valuation model, was $299.48 and $252.39 per share, respectively, using the following weighted average key assumptions: ​
​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Twelve Weeks Ended
​ |  | November 21, |  | November 23, |
​ |  | 2020 | ​ | 2019 | ​
​ | ​ | ​ | ​ | ​ | ​
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 twelve weeks ended November 21, 2020 were as follows: ​
​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | ​ | Weighted-
​ |  | Number |  | Average Grant
​ | ​ | of Shares | ​ | Date Fair Value
​ | ​ | ​ | ​ | ​ | ​
Nonvested at August 29, 2020 |  | 14,160 | ​ | $ | 910.63
Granted |  | 6,328 | ​ | ​ | 1,139.99
Vested |  | (4,069) | ​ |  | 888.78
Canceled or forfeited |  | (20) | ​ |  | 962.49
Nonvested at November 21, 2020 |  | 16,399 | ​ | $ | 1,004.49

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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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