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Income Taxes - Additional Information (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2022
Income Tax Disclosure [Line Items]        
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 (Tax Reform Act), 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 COVID-19 pandemic, the Coronavirus Aid, Relief, and Economic Security Act (CARES 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 $ 75.3      
Liability for unrecognized tax benefits uncertainty of tax position 13.6      
Liability for unrecognized tax benefits uncertainty of tax position, provision for income taxes 3.7      
Income tax expense (benefits), tax credit, discrete items (96.0) $ 8.0 $ 1.9  
Deferred tax assets, valuation allowance 6.2 17.4    
Undistributed earnings in non-U.S. subsidiaries 380.4      
Foreign and domestic income taxes and withholding taxes 22.4      
Potential tax liability 18.4      
Net unrecognized tax benefits, excluding interest and penalties that would affect the company's net income if recognized 21.9      
Interest and penalties 0.7 1.3 $ 0.1  
Accruals for payment of interest and penalties 6.4 5.7    
Interest income related to federal income tax refunds 1.6      
Scenario Forecast        
Income Tax Disclosure [Line Items]        
Significant change in unrecognized tax benefits is reasonably possible, amount of unrecorded benefit       $ 2.8
Foreign Tax Authority        
Income Tax Disclosure [Line Items]        
Valuation allowance on foreign net deferred tax assets benefits (expense) 11.7 $ (11.4)    
Operating loss carryforwards $ 17.7      
Tax credit carryforwards, foreign expiration period, minimum 7 years      
Deferred tax assets, operating loss carryforwards $ 4.5      
Deferred tax assets, tax credit carryforwards 6.4      
Deferred tax assets, valuation allowance 0.8      
Deferred tax assets, foreign tax credit 5.4      
State and Local Jurisdiction        
Income Tax Disclosure [Line Items]        
Operating loss carryforwards $ 40,400.0      
Tax credit carryforwards, state expiration period, minimum 5 years      
Tax credit carryforward, amount $ 28.9      
Tax credit carryforwards, expiration year start 2027      
Tax credit carryforwards, expiration year end 2036      
Deferred tax assets, operating loss carryforwards $ 30.7      
Deferred tax assets, tax credit carryforwards 19.8      
2021 Tax Accounting Method Changes Plan        
Income Tax Disclosure [Line Items]        
Net Operating loss $ 800.0