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Income Taxes - Schedule of Pre-tax Income (Loss) from Continuing Operations (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Pre-tax income (loss) from continuing operations      
Domestic $ 441.6 $ 429.7 $ 697.9
Foreign 56.3 9.4 52.8
Income before income taxes and losses of unconsolidated affiliates $ 497.9 $ 439.1 $ 750.7