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Associate Benefit Plan (Narrative) (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
12 Months Ended
Aug. 28, 2021
Aug. 29, 2020
Aug. 31, 2019
Aug. 29, 2015
Jan. 14, 2015
Associate Stock Purchase Plan [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Plan shares authorized       1,500 1,150
Shares reserved for issuance under plan 347        
Maximum number of shares available for purchase per qualified associate 5        
Associate purchase price as percent of closing price 90.00%        
Shares purchased by qualified associates 57 69      
Share price $ 72.87 $ 59.71      
Savings Plan [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Company contributions to savings plan $ 7,952 $ 5,491 $ 8,439    
2005 Omnibus Incentive Plan [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Plan shares authorized 5,217        
Shares reserved for issuance under plan 1,432        
Stock Options [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Unrecognized share-based compensation cost $ 1,385        
Unrecognized share-based compensation weighted average period 9 months 18 days        
Vesting period 4 years        
Expiration period 7 years        
Total intrinsic value of options exercised $ 5,826 $ 2,604 $ 1,882    
Performance Share Units [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Unrecognized share-based compensation cost $ 2,479        
Unrecognized share-based compensation weighted average period 1 year 8 months 12 days        
Vesting period 3 years        
Performance Share Units [Member] | Minimum [Member] | Vest After Three Year Performance Period [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Vesting percentage 0.00%        
Performance Share Units [Member] | Maximum [Member] | Vest After Three Year Performance Period [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Vesting percentage 200.00%        
Restricted Stock Unit [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Unrecognized share-based compensation cost $ 28,433        
Unrecognized share-based compensation weighted average period 2 years 7 months 6 days