Summary of Significant Accounting Policies - Intangibles (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020
Finite-Lived and Indefinite-Lived, Intangible Assets [Line Items]
Amortization of intangible assets	$ 19.7	$ 51.2	$ 22.2
Amortization of intangible assets, next twelve months	19.4
Amortization of intangible assets, year two	19.4
Amortization of intangible assets, year three	19.4
Amortization of intangible assets, year four	19.4
Amortization of intangible assets, year five	19.4
Accelerated amortization		29.9
Intangible Assets, Net
Finite-lived intangible assets, gross	376.5	376.8
Finite-Lived Intangible Assets, Accumulated Amortization	(173.2)	(153.7)
Finite-Lived Intangible Assets, Net	203.3	223.1
Customer relationships
Intangible Assets, Net
Finite-lived intangible assets, gross	178.3	178.6
Finite-Lived Intangible Assets, Accumulated Amortization	(84.9)	(75.3)
Finite-Lived Intangible Assets, Net	93.4	103.3
Trademarks
Intangible Assets, Net
Finite-lived intangible assets, gross	195.1	195.1
Finite-Lived Intangible Assets, Accumulated Amortization	(85.2)	(75.3)
Finite-Lived Intangible Assets, Net	109.9	119.8
Other intangible assets
Intangible Assets, Net
Finite-lived intangible assets, gross	3.1	3.1
Finite-Lived Intangible Assets, Accumulated Amortization	(3.1)	(3.1)
Finite-Lived Intangible Assets, Net	$ 0.0	$ 0.0