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Income Taxes - Rate (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Income Tax Disclosure [Abstract]      
Effective income tax rate reconciliation at federal statutory income tax rate, amount $ 25.9 $ 23.0 $ 34.1
Effective income tax rate reconciliation, noncontrolling interest income (loss), amount (19.5) (16.2) 0.0
Effective income tax rate reconciliation, state and local income taxes, amount 4.0 3.0 4.9
Effective income tax rate reconciliation, deduction, amount 0.0 (1.2) 0.0
Effective income tax rate reconciliation, uncertain tax positions 0.0 1.5 0.0
Effective income tax rate reconciliation, other reconciling items, amount (1.6) (0.9) 0.4
Income tax expense, total $ 8.8 $ 9.2 $ 39.4