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Share-Based Compensation - Narrative (Details) - USD ($)
$ in Millions
9 Months Ended
Jun. 03, 2022
May 10, 2022
Apr. 22, 2022
Oct. 29, 2022
Apr. 21, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Unrecognized compensation cost related to nonvested stock options       $ 1.5  
Weighted average period for recognition of unrecognized compensation cost       1 year 7 months 6 days  
2004 Plan          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Number of additional shares authorized     680,000    
Number of shares authorized (in shares)     29,780,000   29,100,000
Stock awards/units          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Unrecognized compensation cost related to nonvested stock awards/units       $ 27.5  
Awards granted (in shares)   503,960      
Performance-based or Market-based          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Awards granted (in shares) 451,830        
Performance-based units          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Awards granted (in shares)       294,985  
Performance-based units | Minimum | Vesting, Tranches After Initial Vesting Period          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Award vesting period       2 years  
Performance-based units | Maximum | Vesting, Tranches After Initial Vesting Period          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Award vesting period       3 years  
Market-based units | Minimum          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Target vesting percentage       0.00%  
Market-based units | Maximum          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Target vesting percentage       150.00%  
Market Based Shares - TSR          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Award vesting period       3 years  
Market Based Shares - Stock Price Levels          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Award vesting period       4 years  
Stock Awards Excluding Stock Options and Stock Appreciation Rights | 2004 Plan          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Number that new grants counted against shares authorized (excluding stock options or stock appreciation rights) (in shares)     1.6   3.54