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Equity Plans - Additional Information (Details) - USD ($)
shares in Thousands, $ in Millions
3 Months Ended 6 Months Ended
Feb. 24, 2023
Feb. 25, 2022
Feb. 24, 2023
Feb. 25, 2022
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Ordinary shares, available for issuance (in shares) 8,800   8,800  
Unrecognized compensation costs related to awards $ 1.8   $ 1.8  
Unrecognized compensation costs recognition period     1 year 4 months 24 days  
Income tax benefits for share-based awards 1.8 $ 1.8 $ 4.0 $ 4.9
Restricted Awards        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Unrecognized compensation costs related to awards $ 84.9   $ 84.9  
Unrecognized compensation costs recognition period     2 years 6 months  
Employee Stock Purchase Plan        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Share issued under purchase plan (in shares)     265 133
Share issued under purchase plan     $ 2.9 $ 3.0