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Income Taxes - Additional Information (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Mar. 31, 2023
Mar. 31, 2022
Sep. 30, 2022
Income Tax Disclosure [Line Items]          
Federal statutory income tax rate 21.00% 21.00% 21.00% 21.00%  
Unrecognized tax benefits $ 27.2   $ 27.2   $ 23.9
Income tax provision upon recognition of unrecognized tax benefit 27.2   27.2    
Unrecognized tax benefits that would impact valuation allowance 5.4   5.4    
Potential decrease in unrecognized tax benefits $ (5.0)   (5.0)    
Income tax payments     $ 41.2 $ 28.4