Goodwill and Intangible Assets (Schedule of Amortizable Intangible Assets) (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jun. 30, 2023	Jun. 30, 2022	Jun. 30, 2023	Jun. 30, 2022	Sep. 30, 2022
Finite-Lived Intangible Assets [Line Items]
Amortizable intangible assets, gross carrying amount	$ 689.5		$ 689.5		$ 684.3
Amortizable intangible assets, accumulated amortization	301.2		301.2		274.7
Amortizable intangible assets, net	388.3		388.3		409.5
Other intangible assets, net	983.7		983.7		996.6
Intangible Assets, Gross (Excluding Goodwill)	1,284.9		1,284.9		1,271.4
Amortization of intangibles	7.8	$ 7.8	23.2	$ 21.8
Amortizable intangible assets, amortization expense, remainder of 2023	7.7		7.7
Amortizable intangible assets, amortization expense, fiscal 2024	30.8		30.8
Amortizable intangible assets, amortization expense, fiscal 2025	30.7		30.7
Amortizable intangible assets, amortization expense, fiscal 2026	30.5		30.5
Amortizable intangible assets, amortization expense, fiscal 2027	30.5		30.5
Amortizable intangible assets, amortization expense, fiscal 2028	30.4		30.4
Amortizable intangible assets, amortization expense, after fiscal 2028	227.7		227.7
Indefinite-lived Intangible Assets [Line Items]
Indefinite-lived intangible assets	595.4		595.4		587.1
Trade names and brands
Finite-Lived Intangible Assets [Line Items]
Amortizable intangible assets, gross carrying amount	339.7		339.7		339.4
Amortizable intangible assets, accumulated amortization	84.3		84.3		72.2
Amortizable intangible assets, net	255.4		255.4		267.2
Technology and patents
Finite-Lived Intangible Assets [Line Items]
Amortizable intangible assets, gross carrying amount	78.6		78.6		77.8
Amortizable intangible assets, accumulated amortization	76.1		76.1		75.0
Amortizable intangible assets, net	2.5		2.5		2.8
Customer related and other
Finite-Lived Intangible Assets [Line Items]
Amortizable intangible assets, gross carrying amount	271.2		271.2		267.1
Amortizable intangible assets, accumulated amortization	140.8		140.8		127.5
Amortizable intangible assets, net	$ 130.4		$ 130.4		$ 139.6