Income Taxes (Schedule of Significant Components of Income Tax Provision) (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2023	Aug. 31, 2022	Aug. 31, 2021
Income Tax Disclosure [Abstract]
Federal, Current	$ 8,119	$ 5,678	$ 2,432
State, Current	1,690	1,310	733
Foreign, Current	18,187	17,474	2,738
Total Current	27,996	24,462	5,903
Federal, Deferred	(684)	244	2,251
State, Deferred	(76)	34	281
Foreign, Deferred	760	(2,341)	(621)
Total Deferred	0	(2,063)	1,911
Total income tax provision	$ 27,996	$ 22,399	$ 7,814