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Income Taxes - Additional Information (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Jun. 30, 2020
Jun. 30, 2019
Jun. 30, 2020
Jun. 30, 2019
Jun. 30, 2021
Sep. 30, 2019
Income tax expense $ 28.0 $ 53.7 $ 87.0 $ 129.6    
Effective income tax rate (as a percent) 25.80% 21.80% 27.80% 23.20%    
Income tax expense (benefits), tax credit, discrete items   $ (1.2) $ 10.1 $ 5.9    
Income tax expense (benefit) related to uncertain tax position reserve     1.9 4.6    
Effective income tax rate reconciliation, other reconciling items, amount $ (2.0) (0.4) (2.0) (1.5)    
Effective income tax rate reconciliation, change in enacted tax rate, amount   (0.4)   1.3    
Effective income tax rate reconciliation, tax expense (benefit), share-based payment arrangement, amount   $ (0.3) (2.6) (1.4)    
Tax cuts and jobs act, incomplete accounting, transition tax for accumulated foreign earnings, provisional income tax expense       1.9    
Unrecognized tax benefits 100.5   100.5     $ 97.3
Net unrecognized tax benefits, excluding interest and penalties that would affect the company's net income if recognized 21.4   21.4      
Interest and penalties     1.0 $ 0.6    
Accruals for payment of interest and penalties $ 5.4   5.4      
Scenario Forecast            
Significant change in unrecognized tax benefits is reasonably possible, amount of unrecorded benefit         $ 9.0  
Europe            
Valuation allowance on foreign net deferred tax assets     $ 11.4