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Share-Based Payments - Additional Information (Detail) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended
Nov. 19, 2022
Nov. 20, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Stock options granted 157,113 163,786
Weighted average grant date fair value of options granted $ 760.82 $ 462.80
Stock options exercised - shares 57,092 47,705
Stock options exercised - weighted average exercise price $ 725.86 $ 549.86
Unrecognized share-based compensation expense related to stock options, net of forfeitures $ 158.1  
Estimated weighted average period 3 years 6 months  
Share-based compensation expense $ 19.0 $ 14.3
Restricted Stock Units (RSUs)    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Estimated weighted average period 3 years  
Service period 4 years  
Non vested restricted stock unit award $ 13.7  
Stock Options    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Anti-dilutive shares excluded from the computation of earnings per share 87,696 97,942