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Acquisitions - Schedule of Recognized Identified Assets Acquired and Liabilities Assumed - Plex (Details) - USD ($) $ in Millions	Aug. 31, 2021	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2021
Business Acquisition [Line Items]
Goodwill		$ 3,529.2	$ 3,524.0	$ 3,625.9
Plex Systems
Business Acquisition [Line Items]
Accounts receivable	$ 14.8
All other assets	28.3
Goodwill	1,730.0
Intangible assets	531.4
Total assets acquired	2,304.5
Less: Contract liabilities	(29.2)
Less: Other liabilities assumed	(33.4)
Less: Deferred income taxes	(36.4)
Net assets acquired	2,205.5
Total purchase consideration, net of cash acquired	$ 2,205.5