Acquisitions - Schedule of Recognized Identified Assets Acquired and Liabilities Assumed - Clearpath (Details) - USD ($) $ in Millions		12 Months Ended
	Oct. 02, 2023	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Business Acquisition [Line Items]
Goodwill		$ 3,993.3	$ 3,529.2	$ 3,524.0
Cash consideration, net of cash acquired		$ 749.2	$ 168.4	$ 16.6
Clearpath Robotics
Business Acquisition [Line Items]
Receivables	$ 8.1
Inventories	22.0
Goodwill	283.1
Intangible assets	313.4
All other assets	10.2
Total assets acquired	636.8
Less: Deferred tax liability	(9.2)
Less: Liabilities assumed	(18.6)
Net assets acquired	609.0
Cash consideration, net of cash acquired	566.0
Contingent consideration	43.0
Total purchase consideration, net of cash acquired	$ 609.0