Income Taxes (Schedule of Effective income Tax Rate Reconciliation) (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2022	Aug. 31, 2021	Aug. 31, 2020
Income Tax Disclosure [Abstract]
U.S. statutory rate	$ 18,452	$ 10,581	$ 10,257
State and local taxes, net of federal tax benefit	1,069	859	1,079
Foreign tax rate differences	3,318	(390)	(292)
U.S. tax reform	313	339	(165)
Deferred tax asset valuation allowance		(2,169)	(479)
Federal credits	(444)	(629)	(419)
Uncertain tax benefits	(369)	(622)	165
Other	60	(155)	68
Total income tax provision	$ 22,399	$ 7,814	$ 10,214
U.S statutory rate, percentage	21.00%	21.00%	21.00%
State and local taxes, net of federal tax benefit, percentage	1.20%	1.70%	2.20%
Foreign tax rate differences, percentage	3.80%	(0.80%)	(0.60%)
U.S. tax reform, percentage	0.40%	0.70%	(0.30%)
Deferred tax asset valuation allowance, percentage		(4.30%)	(1.00%)
Federal Credits, percentage	(0.60%)	(1.20%)	(0.90%)
Uncertain Tax Benefits, percentage	(0.40%)	(1.20%)	0.30%
Other, percentage	0.10%	(0.30%)	0.10%
Effective rate, percentage	25.50%	15.50%	20.90%