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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 31, 2021
Mar. 31, 2020
Mar. 31, 2021
Mar. 31, 2020
Sep. 30, 2020
Income Tax Disclosure [Abstract]          
Effective income tax rate 19.20% 22.40% 17.20% 11.30%  
U.S. statutory rate 21.00% 21.00% 21.00% 21.00%  
Income tax liabilities $ 264.9   $ 264.9   $ 296.0
Gross unrecognized tax benefits 22.9   22.9   25.5
Accrued interest and penalties related to unrecognized tax benefits 4.3   4.3   $ 4.0
Reasonably possible amount of reduction in gross unrecognized tax benefits for the next twelve months 22.1   22.1    
Reasonably possible amount of net reduction to income tax provision if unrecognized tax benefits were recognized $ 25.7   $ 25.7