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Share-Based Compensation (Narrative) (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Feb. 28, 2021
Feb. 29, 2020
Feb. 28, 2021
Feb. 29, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share-based compensation expense $ 2.5 $ 1.5 $ 4.2 $ 2.7
Incremental share-based compensation expense $ 1.5      
Chief Executive Officer [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Consulting agreement term 1 year