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Acquisitions - Schedule of Recognized Identified Assets Acquired and Liabilities Assumed (Details) - USD ($) $ in Millions |  |  | 4 Months Ended | 9 Months Ended |
--- | --- | --- | --- | --- | ---
Nov. 01, 2023 | Oct. 02, 2023 | Feb. 28, 2023 | Jun. 30, 2024 | Jun. 30, 2023 | Sep. 30, 2023
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |
Goodwill |  |  |  | $ 3,953.7 |  | $ 3,529.2
Less: Deferred income taxes |  | $ (8.9) |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |
Payments to Acquire Businesses, Net of Cash Acquired |  |  |  | $ 749.2 | $ 168.0 |
Clearpath Robotics |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |
Receivables |  | 8.1 |  |  |  |
Inventories |  | 22.0 |  |  |  |
Goodwill |  | 282.8 |  |  |  |
Other intangible assets |  | 313.4 |  |  |  |
All other assets |  | 10.2 |  |  |  |
Total assets acquired |  | 636.5 |  |  |  |
Less: Liabilities assumed |  | (18.6) |  |  |  |
Total purchase consideration, net of cash acquired |  | 609.0 |  |  |  |
Net assets acquired |  | 609.0 |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |
Payments to Acquire Businesses, Net of Cash Acquired |  | 566.0 |  |  |  |
Contingent consideration |  | 43.0 |  |  |  |
Total purchase consideration, net of cash acquired |  | 609.0 |  |  |  |
Clearpath Robotics | Patented Technology |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |
Other intangible assets |  | 269.9 |  |  |  |
Clearpath Robotics | Trademarks |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |
Other intangible assets |  | 41.6 |  |  |  |
Clearpath Robotics | Customer Relationships |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |
Other intangible assets |  | $ 1.9 |  |  |  |
Verve Industrial Protection |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |
Receivables | $ 8.0 |  |  |  |  |
Goodwill | 133.5 |  |  |  |  |
Other intangible assets | 47.2 |  |  |  |  |
All other assets | 0.7 |  |  |  |  |
Total assets acquired | 189.4 |  |  |  |  |
Less: Liabilities assumed | (6.2) |  |  |  |  |
Total purchase consideration, net of cash acquired | 183.2 |  |  |  |  |
Net assets acquired | 183.2 |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |
Total purchase consideration, net of cash acquired | $ 183.2 |  |  |  |  |
CUBIC |  |  |  |  |  |
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |
Receivables |  |  | $ 23.8 |  |  |
Inventories |  |  | 17.7 |  |  |
Property |  |  | 27.5 |  |  |
Goodwill |  |  | 111.3 |  |  |
Other intangible assets |  |  | 54.1 |  |  |
All other assets |  |  | 21.0 |  |  |
Total assets acquired |  |  | 255.4 |  |  |
Less: Deferred income taxes |  |  | (56.6) |  |  |
Less: Liabilities assumed |  |  | (12.6) |  |  |
Total purchase consideration, net of cash acquired |  |  | 186.2 |  |  |
Net assets acquired |  |  | 186.2 |  |  |
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract] |  |  |  |  |  |
Total purchase consideration, net of cash acquired |  |  | $ 186.2 |  |  |

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