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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]          
Effective income tax rate 9.40% 15.50% 14.00% 16.90%  
Income tax liabilities $ 97.4   $ 97.4   $ 175.3
Gross unrecognized tax benefits 19.9   19.9   9.8
Accrued interest and penalties related to unrecognized tax benefits 1.4   1.4   $ 0.9
Reasonably possible amount of reduction in gross unrecognized tax benefits for the next twelve months 2.3   2.3    
Reasonably possible amount of net reduction to income tax provision if unrecognized tax benefits were recognized $ 3.1   $ 3.1