Income Taxes (Narrative) (Details) - USD ($)	12 Months Ended
	Aug. 31, 2024	Aug. 31, 2023	Aug. 31, 2022	Aug. 31, 2021
Income Taxes [Line Items]
Income tax provision	$ (9,644,000)	$ (8,088,000)	$ (3,634,000)
Income before income taxes	33,046,000	25,869,000	22,064,000
Tax expense for non-deductible executive compensation	$ 3,200,000	$ 900,000	$ 1,200,000
Income tax rate	(29.20%)	(31.30%)	(16.50%)
Effective tax rate	21.00%	21.00%	21.00%
GILTI tax benefit	$ 0	$ 200,000
Operating loss carryforwards	3,731,000
Foreign tax credits	1,100,000
Valuation allowance, deferred tax asset, increase (decrease), amount	(1,154,000)	372,000	$ 2,845,000
Total amount of unrecognized tax benefits that, if recognized, would affect the effective tax rate	1,300,000
Increase (decrease) in income tax expense due to interest and penalties related to uncertain tax positions	100,000
Unrecognized tax benefits	1,639,000	1,618,000	$ 1,597,000	$ 1,594,000
Balance of interest and penalties related to uncertain tax positions	400,000
Tax differential on income subject to both U.S. and foreign taxes	500,000	400,000
Utilized US foreign income tax credit carryforward	4,500,000
Stock-Based Compensation Deductions [Member]
Income Taxes [Line Items]
Income tax provision	2,600,000	$ 600,000
United States – State And Local Income Tax [Member]
Income Taxes [Line Items]
Operating loss carryforwards	1,000,000.0
Foreign Tax [Member]
Income Taxes [Line Items]
Tax credit carryforward, amount	$ 0