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Share-based Payments (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
 9 Months Ended
Jun. 30, 2021
Jun. 30, 2020
Sep. 30, 2020
Shares of stock under options      
Balance at the beginning of the period (in shares) 0.4 0.1  
Granted (in shares) 0.0 0.0  
Options exercised (in shares) (0.1) 0.0  
Options forfeited or expired ( in shares) 0.0 0.0  
Balance at the end of the period (in shares) 0.3 0.1  
Vested and expected to vest in the future at the end of the period (in shares) 0.2 0.1  
Stock options, Weighted average exercise price      
Balance at the beginning of the period (in dollars per share) $ 36.41 $ 31.62  
Granted (in dollars per share) 0 0  
Options exercised (in dollars per share) 31.62 0  
Cancelled (in dollars per share) 0 0  
Balance at the end of the period (in dollars per share) 38.72 31.62  
Vested and expected to vest in the future at the end of the period (in dollars per share) $ 38.72 $ 31.62  
Vesting period 3 years    
Recognized compensation expense $ 36.2 $ 37.0  
Unrecognized compensation expense $ 56.2   $ 50.0
Performance Earnings Program      
Stock options, Weighted average exercise price      
Vesting period 3 years    
Weighted average grant-date fair value of stock options granted (in dollars per share) $ 52.76 $ 42.99  
Restricted Stock Units      
Stock options, Weighted average exercise price      
Weighted average grant-date fair value of stock options granted (in dollars per share) $ 49.21 $ 42.25