Income Taxes (Schedule of Deferred Tax Assets and Deferred Tax Liabilities) (Details) - USD ($) $ in Millions	Sep. 30, 2022	Sep. 30, 2021
Components of Deferred Tax Liabilities [Abstract]
Property, plant and equipment	$ (22.8)	$ (26.6)
Intangibles	(229.4)	(192.5)
Leasing assets	13.0	14.9
Other tax liabilities	(3.9)	(9.4)
Gross deferred tax liabilities	(269.1)	(243.4)
Components of Deferred Tax Assets [Abstract]
Accrued liabilities	55.8	52.8
Deferred and share-based compensation	13.7	15.4
Tax loss carryforwards and tax credits	26.0	8.2
Postretirement benefits other than pensions	1.1	1.5
Pension plans	24.0	40.2
Inventory differences	5.8	3.2
Lease liability	13.1	15.0
Deferred revenue	9.7	0.0
Other tax assets	8.1	8.5
Gross deferred tax assets	157.3	144.8
Valuation allowance	(10.3)	(9.4)
Net deferred tax liabilities	$ (122.1)	$ (108.0)