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Stock-Based Compensation - Weighted Average Assumptions (Details) - Employee - $ / shares
6 Months Ended
Nov. 01, 2023
Feb. 29, 2024
Feb. 28, 2023
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Estimated fair value (in USD per share)   $ 132.60 $ 125.58
Exercise price (in USD per share)   $ 436.63 $ 426.25
Stock options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Risk-free interest rate, minimum (as a percent) 4.78%    
Risk-free interest rate, maximum (as a percent) 5.53%    
Expected life (years) 6 years 7 months 13 days    
Expected volatility (as a percent) 23.50%    
Dividend yield (as a percent) 0.90%    
Estimated fair value (in USD per share) $ 132.60    
Exercise price (in USD per share) $ 436.57