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Stock-Based Compensation (Narrative) (Details) - USD ($)
$ in Thousands
9 Months Ended
May 28, 2022
May 29, 2021
Stock Options [Member]    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Unrecognized share-based compensation cost $ 340  
Unrecognized share-based compensation weighted average period 4 months 24 days  
Total intrinsic value of options exercised $ 4,771 $ 5,719
Performance Share Units [Member]    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Unrecognized share-based compensation cost $ 4,637  
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]    
Vested shares, percentage of target award amount 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]    
Vested shares, percentage of target award amount 200.00%  
Restricted Stock Unit [Member]    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Unrecognized share-based compensation cost $ 28,501  
Unrecognized share-based compensation weighted average period 2 years 7 months 6 days