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Stock-based Compensation (Schedule of Stock Options Activity) (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Aug. 31, 2018
Aug. 31, 2017
Aug. 31, 2016
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Income tax benefit (expense) from stock-based award $ 1.1 $ 1.4 $ 1.2
Stock Options [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Outstanding, Number of Shares 5,960    
Granted, Number of Shares    
Exercised, Number of Shares (5,960)    
Forfeited or expired, Number of Shares    
Outstanding, Number of Shares 5,960  
Exercisable, Number of Shares    
Outstanding, Weighted-Average Exercise Price Per Share $ 36.03    
Granted, Weighted-Average Exercise Price Per Share    
Exercised, Weighted-Average Exercise Price Per Share 36.03    
Forfeited or expired, Weighted-Average Exercise Price Per Share    
Outstanding, Weighted-Average Exercise Price Per Share $ 36.03  
Exercisable, Weighted-Average Exercise Price Per Share    
Total intrinsic value of stock options exercised $ 0.5 $ 1.6 2.5
Income tax benefit (expense) from stock-based award $ 0.1 $ 0.4 $ 0.7