Share-Based Compensation (Summary of Restricted Stock Unit Activity) (Details) - Restricted Stock Units [Member]	12 Months Ended
	Aug. 31, 2023 $ / shares shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock units outstanding | shares	44,251
Granted, number of stock units | shares	24,123
Vested, number of stock units | shares	(24,342)
Forfeited/ cancelled, number of stock units | shares	(2,460)
Stock units outstanding | shares	41,572
Stock units, weighted-average grant-date fair value | $ / shares	$ 126.5
Granted, weighted-average grant-date fair value | $ / shares	151.38
Vested, weighted-average grant-date fair value | $ / shares	122.06
Forfeited/ cancelled, weighted-average grant-date fair value | $ / shares	140.26
Stock units, weighted-average grant-date fair value | $ / shares	$ 108.54