Share-Based Compensation (Summary of Stock Option Activity) (Details) - USD ($) $ / shares in Units, $ in Thousands	12 Months Ended
	Aug. 31, 2021	Aug. 31, 2020
Disclosure Of Compensation Related Costs Sharebased Payments [Abstract]
Stock options outstanding, number of stock options	132,144
Granted, number of stock options	40,048
Exercised, number of stock options	(41,947)
Forfeited/cancelled, number of stock options	(3,034)
Stock options outstanding, number of stock options	127,211	132,144
Exercisable number of stock options	39,834
Stock options outstanding, average exercise price	$ 90.56
Granted, average exercise price	112.50
Exercised, average exercise price	90.92
Forfeited/cancelled, average exercise price	91.50
Stock options outstanding, average exercise price	97.33	$ 90.56
Exercisable average exercise price	$ 87.40
Aggregate intrinsic value outstanding	$ 1,242
Exercised aggregate intrinsic value	2,125
Forfeited/cancelled aggregate intrinsic value	200
Aggregate intrinsic value outstanding	5,601	$ 1,242
Exercisable aggregate intrinsic value	$ 3,129
Average remaining contractual term (years)	7 years 8 months 12 days	7 years 10 months 24 days
Exercisable average remaining contractual term (years)	6 years 3 months 18 days