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Stock Based Compensation - Narrative (Details) - USD ($)
3 Months Ended
Nov. 01, 2021
Nov. 30, 2021
Nov. 30, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation expense   $ 10,400,000 $ 11,300,000
Unrecognized compensation expense related to non-vested equity   $ 132,900,000  
Weighted average period for recognition   2 years 7 months 6 days  
Offering period   3 months  
Purchase price percentage   85.00%  
Maximum employee subscription rate   10.00%  
Maximum contribution limit   $ 25,000  
Number of share purchased by employees (in shares)   9,185 9,269
Stock issued during period employee stock purchase plans weighted average price per share (in USD per share)   $ 330.87 $ 286.58
Capital shares reserved for future issuance (in shares)   129,771  
Restricted stock units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Non-option award grants (in shares)   43,613  
PRSUs      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Non-option award grants (in shares)   30,460  
LTIP      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock options granted (in shares)   299,702  
Exercise price (in USD per share) $ 434.82 $ 434.82  
Number of shares available for grant (in shares)   4,600,000  
LTIP | Stock options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Award vesting percentage 20.00%    
Award vesting period 5 years    
Expiration period 10 years    
LTIP | Restricted stock units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Award vesting percentage   20.00%  
Award vesting period   5 years  
Weighted average grant date fair value (in USD per share)   $ 424.14  
Director Plan      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of shares available for grant (in shares)   237,749  
Director Plan | Directors | Non-employee      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Award vesting period   3 years  
Expiration period   7 years  
ESPP      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation expense   $ 500,000 $ 500,000