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Income Taxes - Schedule of Statutory Federal Effective Income Tax Rate Reconciliation (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2024	Aug. 31, 2023	Aug. 31, 2022
Income Tax Disclosure [Abstract]
Amount computed at U.S. statutory federal tax rate	$ 19,217	$ 17,884	$ 17,662
Effect of foreign operations	3,339	1,583	317
Net benefit from GILTI/FDII	(2,696)	(2,071)	(2,002)
Uncertain tax positions and related interest	947	1,377	273
Other	1,057	397	529
Provision for income taxes	$ 21,864	$ 19,170	$ 16,779

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Amount of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations.

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