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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 |  |  |

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