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Stock-Based Compensation Plans (Total Cost Of Stock-Based Compensation) (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]      
Compensation cost $ 12,520 $ 8,286 $ 8,617
Performance Award [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Compensation cost 10,767 6,133 7,298
Strive Acquisition Compensation [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Compensation cost 739 1,196 354
Unvested Stock Awards [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Compensation cost 700 673 700
ESPP [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Compensation cost 269 239 205
Fully Vested Stock Awards [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Compensation cost $ 45 $ 45 $ 60