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Stock-Based Compensation - Narrative (Details) - USD ($)
3 Months Ended
Dec. 02, 2023
Dec. 03, 2022
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]    
Award requisite service period 3 years  
Stock options    
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]    
Total intrinsic value of options exercised $ 1,499,000 $ 970,000
Unrecognized share-based compensation cost $ 0  
Performance share units    
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]    
Vesting period 3 years  
Unrecognized share-based compensation cost $ 7,201,000  
Unrecognized share-based compensation weighted average period 2 years  
Performance share units | Minimum    
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]    
Vested shares, percentage of target award amount 0.00%  
Performance share units | Maximum    
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]    
Vested shares, percentage of target award amount 200.00%  
Restricted stock units    
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]    
Unrecognized share-based compensation cost $ 35,800,000  
Unrecognized share-based compensation weighted average period 3 years 1 month 6 days