Goodwill and Intangible Assets (Schedule of Amortizable Intangible Assets) (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jun. 30, 2025	Jun. 30, 2024	Jun. 30, 2025	Jun. 30, 2024	Sep. 30, 2024
Finite-Lived Intangible Assets [Line Items]
Amortizable intangible assets, gross carrying amount	$ 693.5		$ 693.5		$ 692.0
Amortizable intangible assets, accumulated amortization	365.9		365.9		341.2
Amortizable intangible assets, net	327.6		327.6		350.8
Other intangible assets, net	929.3		929.3		948.5
Intangible Assets, Gross (Excluding Goodwill)	1,295.2		1,295.2		1,289.7
Amortization of intangibles	7.8	$ 7.7	23.3	$ 23.3
Amortizable intangible assets, amortization expense, remainder of 2023	7.8		7.8
Amortizable intangible assets, amortization expense, fiscal 2024	30.8		30.8
Amortizable intangible assets, amortization expense, fiscal 2025	30.6		30.6
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	30.5		30.5
Amortizable intangible assets, amortization expense, after fiscal 2028	166.9		166.9
Indefinite-lived intangible assets	601.7		601.7		597.7
Trade names and brands
Finite-Lived Intangible Assets [Line Items]
Amortizable intangible assets, gross carrying amount	340.0		340.0		339.8
Amortizable intangible assets, accumulated amortization	116.0		116.0		104.0
Amortizable intangible assets, net	224.0		224.0		235.8
Technology and patents
Finite-Lived Intangible Assets [Line Items]
Amortizable intangible assets, gross carrying amount	80.2		80.2		79.7
Amortizable intangible assets, accumulated amortization	78.2		78.2		77.3
Amortizable intangible assets, net	2.0		2.0		2.4
Customer related and other
Finite-Lived Intangible Assets [Line Items]
Amortizable intangible assets, gross carrying amount	273.3		273.3		272.5
Amortizable intangible assets, accumulated amortization	171.7		171.7		159.9
Amortizable intangible assets, net	$ 101.6		$ 101.6		$ 112.6