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Retirement Plans (Narrative) (Details)
$ in Thousands
12 Months Ended
Aug. 31, 2022
USD ($)
Aug. 31, 2021
USD ($)
item
Aug. 31, 2020
USD ($)
Aug. 31, 2019
USD ($)
Defined Benefit Plan Disclosure [Line Items]        
Employer contributions   $ 1,300 $ 1,200 $ 1,200
Number of former executives | item   5    
Number of highest compensation years | item   3    
Discount rate, liability   2.60% 2.20%  
Discount Rate, net periodic benefit cost   2.20% 3.30% 4.00%
Actuarial loss   $ (236) $ 667  
Scenario, Forecast [Member] | Supplemental Employee Retirement Plans, Defined Benefit [Member]        
Defined Benefit Plan Disclosure [Line Items]        
Actuarial loss $ 300