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Share-Based Compensation (Schedule of Assumptions Used to Estimate Fair Value of TSR Portion of Awards Granted) (Details)
 12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Aug. 31, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected term (years) 5 years 5 years 5 years
Risk-free interest rate 4.80% 4.40% 1.20%
Volatility 37.80% 35.70% 33.80%
Dividend yield 1.20% 0.90% 0.90%
Performance Stock Units [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected term (years) 3 years 3 years 3 years
Risk-free interest rate 4.90% 4.50% 0.70%
Volatility 34.60% 38.60% 39.10%
Dividend yield 1.20% 0.90% 0.90%