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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Jun. 30, 2024
Jun. 30, 2023
Jun. 30, 2024
Jun. 30, 2023
Sep. 30, 2023
Income Tax Disclosure [Abstract]          
Income tax expense $ 12.9 $ 15.6 $ 39.8 $ 31.7  
Effective Income Tax Rate Reconciliation, Percent 25.00% 25.00% 24.60% 25.10%  
Deferred Tax Liabilities, Gross $ 52.0   $ 52.0   $ 49.8
Deferred Tax Assets, Valuation Allowance 0.8   0.8   0.9
Deferred tax liability, net $ 52.8   $ 52.8   $ 50.7