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Goodwill and Intangible Assets - Changes in Goodwill (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Goodwill [Roll Forward]
Goodwill, Beginning balance	$ 817.8	$ 822.7
Accumulated impairment	(740.4)	(724.1)	$ (724.1)
Net goodwill	80.7	93.7	98.6
Change in foreign currency exchange rates	3.3	(4.9)
Goodwill impairment	(16.3)	0.0	(6.8)
Goodwill, Ending balance	$ 821.1	$ 817.8	$ 822.7

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