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Share-Based Compensation (Schedule of Assumptions Used) (Details)
3 Months Ended
Nov. 30, 2021
Nov. 30, 2020
Share-based Payment Arrangement [Abstract]    
Weighted-average dividend yield 0.90% 1.20%
Weighted-average volatility 33.80% 32.80%
Risk-free interest rate 1.20% 0.50%
Weighted-average expected life (years) 5 years 6 years