Intangible Assets (Acquired Intangible Assets) (Details) - USD ($) $ in Millions	Sep. 30, 2022	Sep. 30, 2021
Goodwill and Intangible Assets Disclosure [Abstract]
Intangible assets, gross	$ 636.2	$ 720.5
Accumulated amortization and impairment	(288.7)	(299.8)
Intangible assets, net	347.5	420.7
Acquired Finite-Lived Intangible Assets [Line Items]
Finite-lived intangible assets, gross	594.0	669.3
Accumulated amortization	(279.6)	(288.9)
Finite-lived intangible assets, net	314.4	380.4
Trade names and trademarks
Acquired Indefinite-lived Intangible Assets [Line Items]
Indefinite-lived intangible assets, gross	42.2	51.2
Accumulated impairment	(9.1)	(10.9)
Indefinite-lived intangible assets, net	33.1	40.3
Customer relationships
Acquired Finite-Lived Intangible Assets [Line Items]
Finite-lived intangible assets, gross	487.5	552.0
Accumulated amortization	(226.3)	(234.7)
Finite-lived intangible assets, net	261.2	317.3
Patents and technology
Acquired Finite-Lived Intangible Assets [Line Items]
Finite-lived intangible assets, gross	33.1	36.8
Accumulated amortization	(16.3)	(16.9)
Finite-lived intangible assets, net	16.8	19.9
Other
Acquired Finite-Lived Intangible Assets [Line Items]
Finite-lived intangible assets, gross	73.4	80.5
Accumulated amortization	(37.0)	(37.3)
Finite-lived intangible assets, net	$ 36.4	$ 43.2