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Share-Based Payments - Weighted Average for Key Assumptions Used in Determining Fair Value of Options Granted and Related Share-Based Compensation Expense (Detail)
12 Months Ended
Aug. 26, 2023
Aug. 27, 2022
Aug. 28, 2021
Share-Based Payments      
Expected price volatility 29.00% 28.00% 28.00%
Risk-free interest rate 3.80% 1.10% 0.40%
Weighted average expected lives (in years) 5 years 6 months 5 years 7 months 6 days 5 years 7 months 6 days
Forfeiture rate 10.00% 10.00% 10.00%
Dividend yield 0.00% 0.00% 0.00%