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Income Taxes - Additional Information (Details) - USD ($)
$ in Millions
 3 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2022
Sep. 30, 2021
Income tax expense (benefit) $ (4.4) $ 13.2    
Effective income tax rate (as a percent)   15.90%    
Effective income tax rate reconciliation, other reconciling items, amount (1.9)      
Income tax expense (benefit), tax credit, discrete items   $ (6.7)    
Income tax expense (benefit) related to uncertain tax reserve releases   (4.2)    
Income tax expense (benefit), interest income   (2.1)    
Unrecognized tax benefits 41.5     $ 46.0
Net unrecognized tax benefits, excluding interest and penalties that would affect the company's net income if recognized 22.3      
Interest and penalties 0.1 $ 0.5    
Accruals for payment of interest and penalties $ 3.6      
Scenario Forecast        
Significant change in unrecognized tax benefits is reasonably possible, amount of unrecorded benefit     $ 2.3