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Income Taxes - U.S. and International Components of Income (Loss) from Operations (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Operating Loss Carryforwards [Line Items]      
U.S. $ 37.3 $ 88.8 $ (2.6)
Income from operations, before tax 154.1 206.7 111.0
Australia      
Operating Loss Carryforwards [Line Items]      
Non-U.S. 7.8 1.4 0.4
Brazil      
Operating Loss Carryforwards [Line Items]      
Non-U.S. 13.7 7.6 12.6
Germany      
Operating Loss Carryforwards [Line Items]      
Non-U.S. 17.2 10.4 (0.3)
Singapore      
Operating Loss Carryforwards [Line Items]      
Non-U.S. 16.0 20.5 22.6
United Kingdom      
Operating Loss Carryforwards [Line Items]      
Non-U.S. 41.4 58.5 71.5
Other international      
Operating Loss Carryforwards [Line Items]      
Non-U.S. $ 20.7 $ 19.5 $ 6.8