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