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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Jun. 30, 2023
Jun. 30, 2022
Jun. 30, 2023
Jun. 30, 2022
Sep. 30, 2022
Income Tax Disclosure [Abstract]          
Income tax expense $ 15.6 $ 13.0 $ 31.7 $ 41.4  
Effective Income Tax Rate Reconciliation, Percent 25.00% 24.70% 25.10% 24.40%  
Deferred Income Tax Liabilities, Net of Deferred Income Tax Assets $ (33.2)   $ (33.2)   $ (35.9)
Deferred Tax Assets, Valuation Allowance 0.9   0.9   1.0
Deferred tax liability, net $ (34.1)   $ (34.1)   $ (36.9)