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