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Share-Based Payments (Tables) | 3 Months Ended
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Nov. 18, 2023
Share-Based Payments |
Schedule of 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 period ended November 18, 2023 and November 19, 2022, using the Black-Scholes-Merton multiple-option pricing valuation model, was $913.31 and $760.82 per share, respectively, using the following weighted average key assumptions: ​
​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Twelve Weeks Ended | ​
​ |  | November 18, |  | November 19, |
​ |  | 2023 | ​ | 2022 | ​
​ | ​ | ​ | ​ | ​ | ​
Expected price volatility |  | 29 | % | 29 | %
Risk-free interest rate |  | 4.8 | % | 3.8 | %
Weighted average expected lives (in years) |  | 5.4 |  | 5.4 |
Forfeiture rate |  | 7 | % | 10 | %
Dividend yield |  | 0 | % | 0 | %
Schedule of Nonvested Restricted Stock Units Activity | Transactions related to restricted stock units for the twelve weeks ended November 18, 2023 were as follows: ​
​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | ​ | Weighted-
​ |  | Number |  | Average Grant
​ | ​ | of Shares | ​ | Date Fair Value
​ | ​ | ​ | ​ | ​ | ​
Nonvested at August 26, 2023 |  | 8,133 | ​ | $ | 1,572.87
Granted |  | 2,173 | ​ | ​ | 2,549.04
Vested |  | (3,741) | ​ | ​ | 1,383.34
Forfeited |  | (183) | ​ | ​ | 1,933.41
Nonvested at November 18, 2023 |  | 6,382 | ​ | $ | 2,000.23

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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 -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(2) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + 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 -Topic 718 -SubTopic 10 -Subparagraph (f)(2) -Name Accounting Standards Codification -Paragraph 2 -Section 50 -Publisher FASB -URI https://asc.fasb.org//1943274/2147480429/718-10-50-2 + Details
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