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Income Taxes (Schedule of Effective Income Tax Rate Reconciliation) (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2023	Aug. 31, 2022	Aug. 31, 2021
Income Tax Disclosure [Abstract]
Amount computed at U.S. statutory federal tax rate	$ 17,884	$ 17,662	$ 18,165
Effect of foreign operations	1,583	317	629
Net benefit from GILTI/FDII	(2,071)	(2,002)	(1,764)
Expense (benefit) from stock compensation	538	(204)	(1,813)
Uncertain tax positions and related interest	1,377	273	222
Other	(141)	733	831
Provision for income taxes	$ 19,170	$ 16,779	$ 16,270

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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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