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Common Stock and Related Matters (Details) - USD ($)
$ in Millions
 12 Months Ended 18 Months Ended
Aug. 31, 2019
Aug. 31, 2018
Aug. 31, 2017
Aug. 31, 2019
Mar. 31, 2018
Common Stock [Roll Forward]          
Common Stock, Balance beginning of period (in shares) 53,667,327        
Common Stock, Balance end of period (in shares) 53,778,155 53,667,327   53,778,155  
Common Stock, Amount (at par), Balance beginning of period $ 0.5        
Issuance of restricted stock grants, net of cancellations, Amount 23.1 $ 23.7 $ 16.8    
Stock options exercised, Amount   1.1 $ 2.1    
Common Stock, Amount (at par), Balance end of period $ 0.5 $ 0.5   $ 0.5  
Treasury Stock Transactions, Excluding Value of Shares Reissued [Abstract]          
Remaining repurchased shares recorded as treasury stock 14,325,197 13,676,689   14,325,197  
Treasury stock at original repurchase cost $ 1,156.0 $ 1,074.4   $ 1,156.0  
Reacquired shares of outstanding common stock 700,000        
Preferred Stock, Number of Shares, Par Value and Other Disclosures [Abstract]          
Preferred stock authorized (in shares) 50,000,000 50,000,000   50,000,000  
Preferred stock, issued (in shares) 0 0   0  
Preferred stock, outstanding (in shares) 0 0   0  
March 2018 Repurchase Plan          
Treasury Stock Transactions, Excluding Value of Shares Reissued [Abstract]          
Shares authorized for repurchase (shares)         6,000,000,000,000
Reacquired shares of outstanding common stock       1,450,000  
Amount          
Common Stock [Roll Forward]          
Common Stock, Balance beginning of period (in shares) 53,700,000 53,500,000 53,400,000    
Issuance of restricted stock grants, net of cancellations (in shares) 100,000 200,000 100,000    
Stock options exercised (in shares)   0 0    
Common Stock, Balance end of period (in shares) 53,800,000 53,700,000 53,500,000 53,800,000  
Common Stock, Amount (at par), Balance beginning of period $ 0.5 $ 0.5 $ 0.5    
Issuance of restricted stock grants, net of cancellations, Amount 0.0 0.0 0.0    
Stock options exercised, Amount   0.0 0.0    
Common Stock, Amount (at par), Balance end of period $ 0.5 $ 0.5 $ 0.5 $ 0.5