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Share-Based Payments - Options (Details) - Employee Stock Option - $ / shares
shares in Millions
 12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Number of Options      
Balance at the beginning of the period (in shares) 0.3 0.4 0.1
Granted (in shares)     0.3
Exercised (in shares)   (0.1)  
Balance at the end of the period (in shares) 0.3 0.3 0.4
Exercisable at the end of the period (in shares)     0.1
Stock options, Weighted average exercise price      
Balance at the beginning of the period (in dollars per share) $ 38.72 $ 36.41 $ 31.62
Options granted (in dollars per share)     38.72
Exercised (in dollars per share)   31.62  
Balance at the end of the period (in dollars per share) 38.72 $ 38.72 36.41
Exercisable at the end of the period (in dollars per share)     $ 31.62
Weighted average grant-date fair value of stock options granted (in dollars per share) $ 11.30