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Stock-Based Compensation (Total Cost Of Stock-Based Compensation) (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Feb. 28, 2025
Feb. 29, 2024
Feb. 28, 2025
Feb. 29, 2024
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Compensation cost $ 1,346 $ 1,368 $ 3,513 $ 4,265
Long-Term Incentive Awards [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Compensation cost 850 889 2,529 3,353
Strive Acquisition Compensation [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Compensation cost 180 190 365 385
Unvested Stock Awards [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Compensation cost 240 220 480 400
Employee Stock Purchase Plan [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Compensation cost $ 76 $ 69 $ 139 $ 127