Intangible Assets and Goodwill - Intangible Assets (Details) - USD ($) $ in Millions	Dec. 31, 2022	Sep. 30, 2022
Intangible Assets [Line Items]
Cost	$ 1,221.2	$ 906.9
Accumulated Amortization	(348.0)	(316.5)
Total	1,443.1	1,124.5
Trade names
Intangible Assets [Line Items]
Indefinite-lived assets:	221.9	217.6
Customer relationships
Intangible Assets [Line Items]
Cost	998.7	739.6
Accumulated Amortization	(244.0)	(221.1)
Trade names
Intangible Assets [Line Items]
Cost	43.6	0.0
Accumulated Amortization	(1.1)	0.0
Technology, including patents
Intangible Assets [Line Items]
Cost	140.8	132.9
Accumulated Amortization	(74.0)	(68.4)
Software
Intangible Assets [Line Items]
Cost	38.1	34.4
Accumulated Amortization	$ (28.9)	$ (27.0)