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Retirement Plans (Schedule of Amounts Recognized in Balance Sheet) (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2025
Aug. 31, 2024
Aug. 31, 2023
Retirement Benefits [Abstract]      
Benefit obligation at beginning of year $ 4,697 $ 4,912  
Interest cost $ 226 $ 232 $ 211
Defined Benefit Plan, Net Periodic Benefit Cost (Credit), Interest Cost, Statement of Income or Comprehensive Income [Extensible Enumeration] Nonoperating Income (Expense) Nonoperating Income (Expense)  
Actuarial loss (gain) $ (557) $ 83  
Benefits paid (474) (530)  
Benefit obligation at end of year $ 3,892 $ 4,697 $ 4,912