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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