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Income Taxes - Schedule of Components of Income Tax Expense/(Benefit) Attributable to Income from Operations (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Current taxes:      
U.S. federal $ 26.4 $ 15.8 $ 8.2
U.S. state and local 5.9 3.9 3.6
Total current taxes 103.8 86.9 70.4
Deferred taxes:      
U.S. federal 1.7 (1.1) 3.4
U.S. state and local 0.5 0.0 (0.1)
Total deferred taxes (10.5) (2.4) (0.3)
Income tax expense 93.3 84.5 70.1
Australia      
Current taxes:      
Foreign tax expense 0.2 2.2 2.8
Deferred taxes:      
Other international (0.1) 0.1 (0.2)
Brazil      
Current taxes:      
Foreign tax expense 18.2 16.0 12.6
Deferred taxes:      
Other international (3.6) 0.0 (0.8)
Germany      
Current taxes:      
Foreign tax expense 4.2 4.5 8.9
Deferred taxes:      
Other international (0.4) 0.0 0.0
Singapore      
Current taxes:      
Foreign tax expense 7.7 4.9 2.0
Switzerland      
Current taxes:      
Foreign tax expense 0.0 2.6 0.0
Deferred taxes:      
Other international (1.2) 0.4 0.0
United Kingdom      
Current taxes:      
Foreign tax expense 34.5 30.9 29.2
Deferred taxes:      
Other international (7.2) (1.4) (2.7)
Other international      
Current taxes:      
Foreign tax expense 6.7 6.1 3.1
Deferred taxes:      
Other international $ (0.2) $ (0.4) $ 0.1