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Share-Based Payments - Additional Information (Detail) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended
Nov. 18, 2023
Nov. 19, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Stock options granted 130,723 157,113
Forfeiture rate 7.00% 10.00%
Weighted average grant date fair value of options granted $ 913.31 $ 760.82
Stock options exercised - shares 44,644 57,092
Stock options exercised - weighted average exercise price $ 931.85 $ 725.86
Unrecognized share-based compensation expense related to stock options, net of forfeitures $ 177.9  
Estimated weighted average period 3 years 6 months  
Share-based compensation expense $ 22.9 $ 19.0
Share-Based Payment Arrangement, Employee    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Forfeiture rate 10.00%  
Omnibus Incentive Award Plan 2020 | Share-Based Payment Arrangement, Employee    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Forfeiture rate 0.00%  
Restricted Stock Units (RSUs)    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Estimated weighted average period 2 years 10 months 24 days  
Service period 4 years  
Non vested restricted stock unit award $ 12.0  
Stock Options    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Option-vesting periods 4 years  
Anti-dilutive shares excluded from the computation of earnings per share 169,798 87,696
Stock Options | Minimum    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Option-vesting periods 4 years  
Stock Options | Maximum    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Option-vesting periods 5 years