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Income Taxes - Schedule of Components of Income from Operations, Before Tax (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Operating Loss Carryforwards [Line Items]      
U.S. $ 97.8 $ 135.1 $ 50.0
Income before tax 354.1 323.0 277.2
Australia      
Operating Loss Carryforwards [Line Items]      
Non-U.S. 0.5 7.4 8.7
Brazil      
Operating Loss Carryforwards [Line Items]      
Non-U.S. 37.8 35.3 25.3
Germany      
Operating Loss Carryforwards [Line Items]      
Non-U.S. 12.1 13.3 27.8
Singapore      
Operating Loss Carryforwards [Line Items]      
Non-U.S. 55.1 38.1 19.4
Switzerland      
Operating Loss Carryforwards [Line Items]      
Non-U.S. (2.3) 22.5 0.0
United Kingdom      
Operating Loss Carryforwards [Line Items]      
Non-U.S. 121.3 77.7 104.8
Other international      
Operating Loss Carryforwards [Line Items]      
Non-U.S. $ 31.8 $ (6.4) $ 41.2