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Stock-Based Compensation Plans - Narrative (Details) - USD ($)
shares in Thousands, $ in Thousands
12 Months Ended
Aug. 27, 2022
Aug. 28, 2021
Aug. 29, 2020
Dec. 11, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Accrued compensation $ 71,646 $ 67,541    
Unrecognized compensation expense related to stock options $ 1,300      
Stock options        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Outstanding options term 10 years      
Vesting period 3 years      
Unrecognized compensation expense, period of recognition 9 months 18 days      
Performance-based        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting period 3 years      
Unrecognized compensation expense $ 3,900      
Unrecognized compensation expense, period of recognition 10 months 24 days      
Total fair value of awards vested $ 5,800 1,400 $ 2,400  
Time-based        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Unrecognized compensation expense $ 8,400      
Unrecognized compensation expense, period of recognition 9 months 18 days      
Total fair value of awards vested $ 8,000 $ 5,200 $ 3,300  
Time-based | Director        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting period 1 year      
ESPP        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Discount market price percentage 15.00%      
Shares purchased through the ESPP (in shares) 42 24    
Accrued compensation $ 400 $ 400    
Incentive Compensation Plan 2019        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Number of shares authorized (in shares)       4,100