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Income Taxes (Narrative) (Details) - USD ($) $ in Thousands | 12 Months Ended |
--- | --- | ---
Aug. 31, 2025 | Aug. 31, 2024
Income Taxes [Line Items] |  |
Valuation allowance | $ 534 | $ 534
Maximum [Member] |  |
Income Taxes [Line Items] |  |
Percentage of Recognized largest amount benefit realized upon settlement | 50.00% |
Statutes of limitation range period | 6 years |
Minimum [Member] |  |
Income Taxes [Line Items] |  |
Statutes of limitation range period | 3 years |
Filtration Business [Member] |  |
Income Taxes [Line Items] |  |
Valuation allowance | $ 500 | $ 500

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- Definition Amount of deferred tax assets for which it is more likely than not that a tax benefit will not be realized. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482685/740-10-50-2 + Details
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