Share-Based Compensation (Schedule of Assumptions Used to Estimate Fair Value of TSR Portion of Awards Granted) (Details)	12 Months Ended
	Aug. 31, 2022	Aug. 31, 2021	Aug. 31, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Expected term (years)	5 years	6 years	6 years
Risk-free interest rate	1.20%	0.50%	1.60%
Volatility	33.80%	32.80%	28.40%
Dividend yield	0.90%	1.10%	1.30%
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	0.70%	0.20%	1.50%
Volatility	39.10%	38.60%	29.50%
Dividend yield	0.90%	1.20%	1.30%