Share-based Compensation - Summary of RSU Activity (Details) - Restricted stock units (“RSUs”) - $ / shares	12 Months Ended
	Aug. 31, 2022	Aug. 31, 2021	Aug. 31, 2020
Number of Shares:
Outstanding, Beginning Balance (in shares)	956,000
Granted (in shares)	160,000
Vested (in shares)	(296,000)
Forfeited (in shares)	(7,000)
Outstanding, Ending Balance (in shares)	813,000	956,000
Weighted Average Grant Date Fair Value:
Nonvested, Weighted Average Grant Date Fair Value, Beginning Balance	$ 20.62
Granted, Weighted Average Grant Date Fair Value	52.32	$ 22.26	$ 14.88
Vested, Weighted Average Grant Date Fair Value	21.33
Forfeited, Weighted Average Grant Date Fair Value	22.38
Nonvested, Weighted Average Grant Date Fair Value, Ending Balance	$ 26.59	$ 20.62