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Retirement Plans (Schedule of Amounts Recognized in Balance Sheet) (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2022
Aug. 31, 2021
Aug. 31, 2020
Retirement Benefits [Abstract]      
Benefit obligation at beginning of year $ 6,284 $ 6,904  
Interest cost $ 156 $ 146 $ 208
Defined Benefit Plan, Net Periodic Benefit Cost (Credit), Interest Cost, Statement of Income or Comprehensive Income [Extensible Enumeration] Nonoperating Income (Expense) Nonoperating Income (Expense) Nonoperating Income (Expense)
Actuarial gain $ (488) $ (236)  
Benefits paid (530) (530)  
Benefit obligation at end of year $ 5,422 $ 6,284 $ 6,904