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Income Taxes - Rate (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Income Tax Disclosure [Abstract]      
Effective income tax rate reconciliation at federal statutory income tax rate, amount $ 69.2 $ 46.3 $ 30.6
Income tax expense attributable to NCI 0.0 0.0 (7.6)
State income taxes, net of effect on federal tax 13.5 8.4 4.7
Transaction costs 0.0 0.0 2.0
Other, net (none in excess of 5% of computed tax) 0.2 0.2 (0.1)
Income tax expense, total $ 82.9 $ 54.9 $ 29.6