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Intangible Assets - Summary of Goodwill (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2025	Sep. 30, 2024
Goodwill [Roll Forward]
Goodwill, beginning balance	$ 615.3	$ 578.0
Acquisitions	55.6	44.3
Currency translation	(1.5)	(0.1)
Dispositions	(11.4)	(6.9)
Goodwill, ending balance	$ 658.0	$ 615.3

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