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Stock Based Compensation - Stock Option Activity (Details) - Employee - $ / shares
3 Months Ended
Nov. 01, 2022
Nov. 30, 2022
Nov. 30, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock options granted (in shares) 266,051 267,296 299,702
Weighted average exercise price (in USD per share)   $ 426.25 $ 434.82
Weighted average grant date fair value (in dollars per share)   $ 125.59 $ 102.40
Stock options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Weighted average exercise price (in USD per share) $ 426.25    
Weighted average grant date fair value (in dollars per share) $ 125.62    
Vesting percentage 20.00%    
Vesting period 5 years    
Expiration period 10 years