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Income Taxes - Schedule of Statutory Federal Effective Income Tax Rate Reconciliation (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2025	Aug. 31, 2024	Aug. 31, 2023
Income Tax Disclosure [Abstract]
Amount computed at U.S. statutory federal tax rate	$ 21,341	$ 19,217	$ 17,884
Effect of foreign operations	3,323	3,339	1,583
Net (benefit) from GILTI/FDII	(3,339)	(2,696)	(2,071)
Uncertain tax positions	(8,049)	947	1,377
Interest and other true-ups related to uncertain tax positions	(3,416)	0	0
Other	772	1,057	397
Provision for income taxes	$ 10,632	$ 21,864	$ 19,170

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