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Associate Benefit Plans - Narrative (Details) - USD ($)
$ / shares in Units, shares in Thousands
12 Months Ended
Aug. 31, 2024
Sep. 02, 2023
Sep. 03, 2022
Jan. 27, 2021
Jan. 26, 2021
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Unrecognized share-based compensation cost $ 0        
Range One          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Share-based payment arrangement, option, exercise price range, shares outstanding (in shares) 99,000        
Range of exercise price (in USD per share) $ 83.21        
Share-based payment arrangement, option, exercise price range, outstanding, weighted average remaining contractual term 1 year 1 month 6 days        
Aggregate Intrinsic Value of options outstanding $ 0        
Stock options          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Total intrinsic value of options exercised $ 1,912,000 $ 4,393,000 $ 5,855,000    
Share-based compensation arrangement by share-based payment award, award vesting period 4 years        
Share-based compensation arrangement by share-based payment award, expiration period 7 years        
Performance Share Units          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Unrecognized share-based compensation cost $ 3,259,000        
Share-based compensation arrangement by share-based payment award, award vesting period 3 years        
Unrecognized share-based compensation weighted average period 1 year 2 months 12 days        
Performance Share Units | Minimum | Vest After Three Year Performance Period          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Vesting percentage 0.00%        
Performance Share Units | Maximum | Vest After Three Year Performance Period          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Vesting percentage 200.00%        
Restricted Stock Unit          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Unrecognized share-based compensation cost $ 25,727,000        
Unrecognized share-based compensation weighted average period 2 years 6 months        
2023 Omnibus Incentive Plan          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Share-based compensation arrangement by share-based payment award, number of shares authorized 2,186        
2023 Omnibus Incentive Plan | Class A Common Stock          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Share-based compensation arrangement by share-based payment award, number of shares available for grant 2,004        
Associate Stock Purchase Plan          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Share-based compensation arrangement by share-based payment award, number of shares authorized       1,850 1,500
Share-based compensation arrangement by share-based payment award, number of shares available for grant 182        
Share-based compensation arrangement by share-based payment award, maximum number of shares per employee (in shares) 5        
Associate purchase price as percent of closing price 90.00%        
Shares purchased by qualified associates (in shares) 53 56      
Share Price (in USD per share) $ 84.15 $ 79.41      
Savings Plan          
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]          
Defined contribution plan, employer discretionary contribution amount $ 9,727,000 $ 9,481,000 $ 9,019,000