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Share-Based Compensation (Schedule of Assumptions Used) (Details) - $ / shares
12 Months Ended
Aug. 31, 2020
Aug. 31, 2019
Disclosure Of Compensation Related Costs Sharebased Payments [Abstract]    
Risk-free interest rate 1.60% 3.10%
Dividend yield 1.30% 1.40%
Expected life (years) 6 years 6 years
Volatility 28.40% 26.30%
Weighted average grant-date fair value of options granted $ 24.18 $ 24.71