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Income Taxes - Additional Information (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended 12 Months Ended
Jun. 30, 2021
Jun. 30, 2020
Jun. 30, 2021
Jun. 30, 2020
Sep. 30, 2021
Jun. 30, 2022
Sep. 30, 2020
Tax cuts and jobs act, other tax effect, description     In 2019, acknowledging that taxpayers may require multiple tax accounting method changes associated with the implementation of the Tax Cuts and Jobs Act of 2017, the IRS waived the five-year “eligibility rule” for certain tax accounting method changes for the first three years ending on or after November 20, 2018. Citing a need to help companies impacted by the COIVD-19 pandemic, the Coronavirus Aid, Relief, and Economic Security Act allows a taxpayer to carryback net operating losses generated in years beginning after December 31, 2017 and before January 1, 2021 for five years.        
Discrete tax benefit related to tax plan $ 69.9   $ 69.9        
Income tax expense (benefit) (21.9) $ 28.0 24.5 $ 87.0      
Pre-tax income 192.5 $ 108.4 $ 408.2 $ 312.4      
Effective income tax rate (as a percent)   25.80% 6.00% 27.80%      
Federal provision-to-return adjustment       $ (2.0)      
Income tax expense (benefit), tax credit, discrete items       10.1      
Income tax expense (benefit) related to uncertain tax position reserve       1.9      
Liability for unrecognized tax benefits uncertainty of tax position 16.6   $ 16.6        
Unrecognized tax benefits 49.9   49.9       $ 79.8
Net unrecognized tax benefits, excluding interest and penalties that would affect the company's net income if recognized 25.9   25.9        
Interest and penalties     1.4 1.0      
Accruals for payment of interest and penalties $ 7.1   $ 7.1        
Foreign Tax Authority              
Valuation allowance on foreign or state net deferred tax assets       $ 11.4      
Scenario Forecast              
Net Operating loss         $ 725.0    
Significant change in unrecognized tax benefits is reasonably possible, amount of unrecorded benefit           $ 9.6