Income Taxes - Summary of Reserve for Unrecognized Tax Benefits, Excluding Interest and Penalties (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2024	Aug. 31, 2023	Aug. 31, 2022
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Unrecognized tax benefits, as of the beginning of the year	$ 11,830	$ 10,326	$ 8,320
Additions for tax positions of prior years	26	281	1,055
Additions for tax positions of the current year	755	1,223	974
Reductions for lapse of statutes	(4,710)		(23)
Unrecognized tax benefits, as of the end of the year	$ 7,901	$ 11,830	$ 10,326