Share-Based Compensation (Schedule of Assumptions Used to Estimate Fair Value of TSR Portion of Awards Granted) (Details)	3 Months Ended
	Nov. 30, 2024	Nov. 30, 2023
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Expected term (years)	5 years	5 years
Risk-free interest rate	4.10%	4.80%
Volatility	36.80%	37.80%
Dividend yield	1.20%	1.20%
Performance Stock Units [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Expected term (years)	3 years	3 years
Risk-free interest rate	4.10%	4.90%
Volatility	35.20%	34.60%
Dividend yield	1.20%	1.20%