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Share-Based Compensation (Schedule of Assumptions Used) (Details) - $ / shares
12 Months Ended
Aug. 31, 2019
Aug. 31, 2018
Disclosure Of Compensation Related Costs Sharebased Payments [Abstract]    
Risk-free interest rate 3.10% 2.20%
Dividend yield 1.40% 1.30%
Expected life (years) 6 years 7 years
Volatility 26.30% 33.90%
Weighted average grant-date fair value of options granted $ 24.71 $ 30.72