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Income Taxes - Narrative (Details) - USD ($) $ / shares in Units, $ in Millions | 12 Months Ended |
--- | --- | ---
Sep. 30, 2024 | Sep. 30, 2023 | Sep. 30, 2022 | Sep. 30, 2021
Income Tax Disclosure [Abstract] |  |  |  |
Income tax liabilities | $ 97.4 | $ 175.3 |  |
Income tax paid | 58.4 | 31.1 | $ 31.2 |
Tax benefit attributable to non-U.S. government sponsored tax incentive programs | $ 35.6 | $ 62.1 | $ 58.3 |
Tax benefit per diluted share attributable to non-U.S. government sponsored tax incentive programs (in usd per share) | $ 0.31 | $ 0.54 | $ 0.50 |
Undistributed earnings of foreign subsidiaries | $ 155.9 |  |  |
Gross unrecognized tax benefits | 25.0 | $ 9.8 | $ 3.9 | $ 4.3
Accrued interest and penalties for unrecognized tax benefits | 2.0 | 0.9 | 1.4 |
Benefits (expense) recognized for interest and penalties related to unrecognized tax benefits | (1.1) | $ 0.5 | $ (0.0) |
Reasonably possible amount of reduction of gross unrecognized tax benefit in the next twelve months | 2.4 |  |  |
Reasonably possible amount of net reduction to income tax provision in the next twelve months if unrecognized tax benefits were recognized, including the recognition of interest and penalties and offsetting tax assets | $ 3.1 |  |  |

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- Definition Net reduction to income tax provision, including the recognition of interest and penalties and offsetting tax assets, if unrecognized tax benefits were recognized. + References No definition available. + Details
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- Definition The amount of income taxes from which a reporting entity is exempt or for which it will receive a reduction in income taxes as a result of the income tax holiday granted by the taxing jurisdiction. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 2 -Subparagraph (SAB Topic 11.C) -Publisher FASB -URI https://asc.fasb.org/1943274/2147479360/740-10-S99-2 + Details
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- Definition Amount of increase (decrease) to previously recorded tax expense. Includes, but is not limited to, significant settlements of income tax disputes, and unusual tax positions or infrequent actions taken by the entity, including tax assessment reversal, and IRS tax settlement. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 9 -Publisher FASB -URI https://asc.fasb.org/1943274/2147482685/740-10-50-9 + Details
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