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Income Taxes - Schedule of Reconciliation of Unrecognized Tax Benefits (Details) - USD ($) $ in Millions | 12 Months Ended
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Sep. 30, 2025 | Sep. 30, 2024
Unrecognized Tax Benefits [Roll Forward] |  |
Balance at the beginning of the year | $ 81.3 | $ 62.1
Gross increase in current period’s tax positions | 9.2 | 34.5
Gross increase in prior years’ tax positions | 47.0 | 13.9
Gross decrease in prior years’ tax positions | (6.4) | (20.1)
Decrease due to settlement with tax authorities | 0.0 | (7.4)
Decrease due to lapse of statute of limitations | (1.3) | (2.2)
Gross change due to foreign exchange fluctuations | (0.2) |
Gross change due to foreign exchange fluctuations |  | 0.5
Balance at the end of the year | $ 129.6 | $ 81.3

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