Income Taxes - Rollforward of Unrecognized Tax Benefits (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2023	Aug. 31, 2022	Aug. 31, 2021
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Balance at beginning of period	$ 124,959	$ 122,149	$ 119,150
Additions attributable to current year tax positions	0	0	2,000
Additions attributable to prior year tax positions	894	2,810	15,974
Reductions attributable to prior year tax positions	0	0	(14,975)
Balance at end of period	$ 125,853	$ 124,959	$ 122,149