Goodwill and Intangible Assets (Schedule of Amortizable Intangible Assets) (Details) - USD ($) $ in Millions	3 Months Ended
	Dec. 31, 2019	Dec. 31, 2018	Sep. 30, 2019
Finite-Lived Intangible Assets [Line Items]
Amortizable intangible assets, gross carrying amount	$ 461.1		$ 460.9
Amortizable intangible assets, accumulated amortization	215.5		212.3
Amortizable intangible assets, net	245.6		248.6
Amortization of intangibles	4.3	$ 4.5
Amortizable intangible assets, amortization expense, remainder of 2020	12.7
Amortizable intangible assets, amortization expense, fiscal 2021	16.5
Amortizable intangible assets, amortization expense, fiscal 2022	16.4
Amortizable intangible assets, amortization expense, fiscal 2023	16.4
Amortizable intangible assets, amortization expense, fiscal 2024	16.3
Amortizable intangible assets, amortization expense, fiscal 2025	16.3
Amortizable intangible assets, amortization expense, thereafter	151.0
Trade names and brands
Finite-Lived Intangible Assets [Line Items]
Amortizable intangible assets, gross carrying amount	206.5		206.4
Amortizable intangible assets, accumulated amortization	37.6		35.0
Amortizable intangible assets, net	168.9		171.4
Technology and patents
Finite-Lived Intangible Assets [Line Items]
Amortizable intangible assets, gross carrying amount	76.2		78.5
Amortizable intangible assets, accumulated amortization	74.5		76.4
Amortizable intangible assets, net	1.7		2.1
Customer related and other
Finite-Lived Intangible Assets [Line Items]
Amortizable intangible assets, gross carrying amount	178.4		176.0
Amortizable intangible assets, accumulated amortization	103.4		100.9
Amortizable intangible assets, net	$ 75.0		$ 75.1