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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2022
Mar. 31, 2021
Sep. 30, 2021
Income Tax Disclosure [Abstract]          
Effective income tax rate (20.20%) 19.20% 10.90% 17.20%  
U.S. statutory rate 21.00% 21.00%      
Income tax liabilities $ 233.7   $ 233.7   $ 264.8
Gross unrecognized tax benefits 4.3   4.3   4.3
Accrued interest and penalties related to unrecognized tax benefits 1.5   1.5   $ 1.5
Reasonably possible amount of reduction in gross unrecognized tax benefits for the next twelve months 3.8   3.8    
Reasonably possible amount of net reduction to income tax provision if unrecognized tax benefits were recognized $ 5.3   $ 5.3