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Acquisitions - Schedule of Recognized Identified Assets Acquired and Liabilities Assumed - Verve (Details) - USD ($) $ in Millions | Nov. 01, 2023 | Sep. 30, 2024 | Sep. 30, 2023 | Sep. 30, 2022
--- | --- | --- | --- | ---
Business Acquisition [Line Items] |  |  |  |
Goodwill |  | $ 3,993.3 | $ 3,529.2 | $ 3,524.0
Verve Industrial Protection |  |  |  |
Business Acquisition [Line Items] |  |  |  |
Receivables | $ 8.0 |  |  |
Goodwill | 133.5 |  |  |
Intangible assets | 47.2 |  |  |
All other assets | 0.7 |  |  |
Total assets acquired | 189.4 |  |  |
Less: Liabilities assumed | (6.2) |  |  |
Net assets acquired | 183.2 |  |  |
Total purchase consideration, net of cash acquired | $ 183.2 |  |  |

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