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Share-based Payments - Restricted stock units and PEP units activity (Details) - USD ($)
$ / shares in Units, $ in Millions
 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Other disclosures      
Compensation expense related to share-based payments $ 61.5 $ 45.9 $ 38.5
Unrecognized compensation expense $ 68.7 $ 48.3  
Recognition period of unrecognized compensation expense 3 years 3 years  
Restricted Stock Units      
Units      
Outstanding at beginning (in units) 800,000 1,000,000.0 1,300,000
Granted (in units) 300,000 300,000 300,000
Vested (in shares) (300,000) (400,000) (500,000)
Cancelled (in shares)   (100,000) (100,000)
Outstanding at ending (in units) 800,000 800,000 1,000,000.0
Weighted Average Grant-Date Fair Value      
Outstanding at beginning (in USD per unit) $ 68.34 $ 53.05 $ 38.88
Granted (in USD per unit) 92.30 83.64 74.30
Vested (in USD per unit) 50.14 44.35 29.44
Cancelled (in USD per unit) 77.32 62.09 49.74
Outstanding at ending (in USD per unit) $ 83.96 $ 68.34 $ 53.05
PEP Units      
Units      
Outstanding at beginning (in units) 700,000 700,000 1,200,000
Granted (in units) 200,000 200,000 200,000
PEP units earned (unearned) (in shares) 200,000 200,000 600,000
Vested (in shares) (400,000) (400,000) (1,300,000)
Outstanding at ending (in units) 700,000 700,000 700,000
Weighted Average Grant-Date Fair Value      
Outstanding at beginning (in USD per unit) $ 75.54 $ 60.60 $ 37.22
Granted (in USD per unit) 104.66 94.64 85.46
PEP units earned (unearned) (in USD per share) 52.50 43.19 27.90
Vested (in USD per unit) 52.50 43.19 27.90
Cancelled (in USD per unit) 89.76 71.71 56.64
Outstanding at ending (in USD per unit) $ 95.38 $ 75.54 $ 60.60