Goodwill and Intangible Assets (Schedule of Amortizable Intangible Assets) (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jun. 30, 2021	Jun. 30, 2020	Jun. 30, 2021	Jun. 30, 2020	Sep. 30, 2020
Finite-Lived Intangible Assets [Line Items]
Amortizable intangible assets, gross carrying amount	$ 557.9		$ 557.9		$ 555.2
Amortizable intangible assets, accumulated amortization	246.4		246.4		228.5
Amortizable intangible assets, net	311.5		311.5		326.7
Amortization of intangibles	5.5	$ 4.2	16.6	$ 12.7
Amortizable intangible assets, amortization expense, remainder of 2021	5.5		5.5
Amortizable intangible assets, amortization expense, fiscal 2022	22.1		22.1
Amortizable intangible assets, amortization expense, fiscal 2023	22.0		22.0
Amortizable intangible assets, amortization expense, fiscal 2024	21.9		21.9
Amortizable intangible assets, amortization expense, fiscal 2025	21.9		21.9
Amortizable intangible assets, amortization expense, fiscal 2026	21.7		21.7
Amortizable intangible assets, amortization expense, after fiscal 2026	196.4		196.4
Trade names and brands
Finite-Lived Intangible Assets [Line Items]
Amortizable intangible assets, gross carrying amount	256.3		256.3		256.2
Amortizable intangible assets, accumulated amortization	54.7		54.7		45.4
Amortizable intangible assets, net	201.6		201.6		210.8
Technology and patents
Finite-Lived Intangible Assets [Line Items]
Amortizable intangible assets, gross carrying amount	79.3		79.3		79.1
Amortizable intangible assets, accumulated amortization	75.9		75.9		75.3
Amortizable intangible assets, net	3.4		3.4		3.8
Customer related and other
Finite-Lived Intangible Assets [Line Items]
Amortizable intangible assets, gross carrying amount	222.3		222.3		219.9
Amortizable intangible assets, accumulated amortization	115.8		115.8		107.8
Amortizable intangible assets, net	$ 106.5		$ 106.5		$ 112.1