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Retirement Plans (Schedule of Amounts Recognized in Balance Sheet) (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Aug. 31, 2022
Retirement Benefits [Abstract]      
Benefit obligation at beginning of year $ 4,912 $ 5,422  
Interest cost $ 232 $ 211 $ 156
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) $ 83 $ (191)  
Benefits paid (530) (530)  
Benefit obligation at end of year $ 4,697 $ 4,912 $ 5,422