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Retirement Plans (Narrative) (Details)
$ in Thousands
12 Months Ended
Aug. 31, 2022
USD ($)
Executive
CompensationYears
Aug. 31, 2021
USD ($)
Aug. 31, 2020
USD ($)
Defined Benefit Plan Disclosure [Line Items]      
Employer contributions $ 1,200 $ 1,300 $ 1,200
Number of former executives | Executive 5    
Number of highest compensation years | CompensationYears 3    
Discount rate, liability 4.10% 2.60%  
Discount Rate, net periodic benefit cost 2.60% 2.20% 3.30%
Actuarial loss $ (488) $ (236)  
Supplemental Employee Retirement Plans, Defined Benefit [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Actuarial loss $ 200