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Share Repurchases (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Feb. 29, 2016
Feb. 28, 2015
Feb. 29, 2016
Feb. 28, 2015
Jul. 22, 2015
Jan. 03, 2014
Repurchase authorization increase amount         $ 100.0  
Shares repurchased 332,949 224,307 469,212 605,926    
Aggregate purchase price of shares repurchased $ 23.0 $ 19.4 $ 32.2 $ 49.4    
Remaining amount available under the repurchase program $ 79.8   $ 79.8      
Maximum [Member]            
Repurchase authorization amount           $ 150.0