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Share-based Payments (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
 6 Months Ended
Mar. 31, 2017
Mar. 31, 2016
Sep. 30, 2016
Stock options, weighted average exercise price      
Recognized compensation expense $ 38.1 $ 42.0  
Unrecognized compensation expense $ 128.7   $ 91.8
Employee Stock Option      
Shares of stock under options      
Balance at the beginning of the period (in shares) 0.9 1.3  
Exercised (in shares) (0.2) (0.2)  
Balance at the end of the period (in shares) 0.7 1.1  
Vested and expected to vest in the future at the end of the period (in shares) 0.7 1.1  
Stock options, weighted average exercise price      
Balance at the beginning of the period (in dollars per share) $ 30.36 $ 28.26  
Exercised (in dollars per share) 26.42 23.36  
Balance at the end of the period (in dollars per share) 31.11 29.44  
Vested and expected to vest in the future at the end of the period (in dollars per share) 31.11 29.44  
Performance Earnings Program      
Stock options, weighted average exercise price      
Weighted average grant-date fair value of stock options granted (in dollars per share) 38.16 29.92  
Restricted Stock Units (RSUs)      
Stock options, weighted average exercise price      
Weighted average grant-date fair value of stock options granted (in dollars per share) $ 38.05 $ 29.80