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Retirement Plans (Schedules of Net Benefit Costs) (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
Aug. 31, 2021
Retirement Benefits [Abstract]      
Interest cost $ 211 $ 156 $ 146
Net amortization and deferral 211 255 269
Total $ 422 $ 411 $ 415