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Stock-based Compensation (Schedule of Stock-based Compensation Expense) (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
Aug. 31, 2021
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Stock-based compensation expense $ 6,434 $ 6,697 $ 9,555
Restricted Stock Units      
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Stock-based compensation expense 4,254 4,153 3,656
Market Share Units      
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Stock-based compensation expense 2,180 2,544 2,294
Performance Share Units      
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Stock-based compensation expense $ 0 $ 0 $ 3,605
Vesting percentage     100.00%