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Income Taxes - Additional Information (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended |
--- | --- | --- | ---
Dec. 31, 2017 | Sep. 30, 2020 | Sep. 30, 2019 | Sep. 30, 2018 | Sep. 30, 2021
Income Tax Disclosure [Line Items] |  |  |  |  |
Income tax expense (benefits), tax credit, discrete items |  | $ 8.0 | $ 1.9 | $ (21.7) |
Income tax expense (benefit), discrete items, percentage of pre-tax income |  | 1.80% | 0.30% | (3.60%) |
Effective income tax rate reconciliation, at federal statutory income tax rate, percent | 35.00% | 21.00% | 21.00% | 24.50% |
Tax cuts and jobs act, change in tax rate, income tax expense (benefit) |  |  |  | $ (30.2) |
Tax cuts and jobs act, deferred tax asset |  | $ 44.8 | $ 44.8 |  |
Tax cuts and jobs act, income tax payable |  | 61.0 | 61.0 |  |
Deferred tax assets, valuation allowance |  | 17.4 | 1.1 |  |
Undistributed earnings in non-U.S. subsidiaries |  | 392.5 |  |  |
Foreign and domestic income taxes and withholding taxes |  | 24.3 |  |  |
Potential tax liability |  | 18.4 |  |  |
Net unrecognized tax benefits, excluding interest and penalties that would affect the company's net income if recognized |  | 17.2 |  |  |
Interest and penalties |  | 1.3 | 0.1 | $ (3.7) |
Accruals for payment of interest and penalties |  | 5.7 | $ 4.4 |  |
Scenario Forecast |  |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |  |
Significant change in unrecognized tax benefits is reasonably possible, amount of unrecorded benefit |  |  |  |  | $ 7.3
Foreign Tax Authority |  |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |  |
Valuation allowance on foreign net deferred tax assets |  | 11.5 |  |  |
Operating loss carryforwards |  | $ 42.0 |  |  |
Tax credit carryforwards, foreign expiration period, minimum |  | 7 years |  |  |
Deferred tax assets, operating loss carryforwards |  | $ 10.7 |  |  |
Deferred tax assets, valuation allowance |  | 17.4 |  |  |
State and Local Jurisdiction |  |  |  |  |
Income Tax Disclosure [Line Items] |  |  |  |  |
Operating loss carryforwards |  | $ 167.7 |  |  |
Tax credit carryforwards, state expiration period, minimum |  | 5 years |  |  |
Tax credit carryforward, amount |  | $ 25.8 |  |  |
Tax credit carryforwards, expiration year start |  | 2026 |  |  |
Tax credit carryforwards, expiration year end |  | 2035 |  |  |
Deferred tax assets, operating loss carryforwards |  | $ 6.6 |  |  |
Deferred tax assets, tax credit carryforwards |  | $ 17.2 |  |  |

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