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Share-based Payments - Estimate Fair Value of Stock Options (Details) - Stock options - Stock Incentive Plan - $ / shares
12 Months Ended
Aug. 31, 2021
Aug. 31, 2020
Market Options    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Dividend yield 0.50% 0.40%
Expected volatility 36.50% 33.70%
Risk-free interest rate 0.70% 1.50%
Expected life of options 8 years 7 years
Weighted-average fair value of options (in dollars per share) $ 40.45 $ 44.74
Service Options    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Dividend yield   0.40%
Expected volatility   33.70%
Risk-free interest rate   1.30%
Expected life of options   5 years
Weighted-average fair value of options (in dollars per share)   $ 34.22