Goodwill and Intangible Assets (Schedule of Amortizable Intangible Assets) (Details) - USD ($) $ in Millions	3 Months Ended
	Dec. 31, 2024	Dec. 31, 2023	Sep. 30, 2024
Finite-Lived Intangible Assets [Line Items]
Amortizable intangible assets, gross carrying amount	$ 688.5		$ 692.0
Amortizable intangible assets, accumulated amortization	346.4		341.2
Amortizable intangible assets, net	342.1		350.8
Other intangible assets, net	934.3		948.5
Intangible Assets, Gross (Excluding Goodwill)	1,280.7		1,289.7
Amortization of intangibles	7.8	$ 7.8
Amortizable intangible assets, amortization expense, remainder of 2023	23.2
Amortizable intangible assets, amortization expense, fiscal 2024	30.6
Amortizable intangible assets, amortization expense, fiscal 2025	30.4
Amortizable intangible assets, amortization expense, fiscal 2026	30.4
Amortizable intangible assets, amortization expense, fiscal 2027	30.3
Amortizable intangible assets, amortization expense, fiscal 2028	30.3
Amortizable intangible assets, amortization expense, after fiscal 2028	166.9
Indefinite-lived intangible assets	592.2		597.7
Trade names and brands
Finite-Lived Intangible Assets [Line Items]
Amortizable intangible assets, gross carrying amount	339.6		339.8
Amortizable intangible assets, accumulated amortization	107.7		104.0
Amortizable intangible assets, net	231.9		235.8
Technology and patents
Finite-Lived Intangible Assets [Line Items]
Amortizable intangible assets, gross carrying amount	79.2		79.7
Amortizable intangible assets, accumulated amortization	76.9		77.3
Amortizable intangible assets, net	2.3		2.4
Customer related and other
Finite-Lived Intangible Assets [Line Items]
Amortizable intangible assets, gross carrying amount	269.7		272.5
Amortizable intangible assets, accumulated amortization	161.8		159.9
Amortizable intangible assets, net	$ 107.9		$ 112.6