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Share-Based Compensation (Narrative) (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 6 Months Ended
Feb. 28, 2019
Feb. 28, 2018
Feb. 28, 2019
Feb. 28, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share-based compensation expense $ 1.1 $ 0.9 $ 2.4 $ 1.9
Board of Directors [Member] | Restricted Stock Units [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Grant date fair value per share $ 95.61   $ 95.61  
Number of shares granted 7,456