Income Taxes (Schedule of Deferred Tax Assets and Deferred Tax Liabilities) (Details) - USD ($) $ in Millions	Sep. 30, 2023	Sep. 30, 2022
Components of Deferred Tax Liabilities [Abstract]
Property, plant and equipment	$ (20.8)	$ (22.8)
Intangibles	(230.2)	(229.4)
Leasing assets	15.2	13.0
Other tax liabilities	(4.3)	(3.9)
Gross deferred tax liabilities	(270.5)	(269.1)
Components of Deferred Tax Assets [Abstract]
Accrued liabilities	56.6	55.8
Deferred and share-based compensation	14.9	13.7
Tax loss carryforwards and tax credits	37.3	26.0
Postretirement benefits other than pensions	1.0	1.1
Pension plans	25.0	24.0
Inventory differences	5.0	5.8
Lease liability	15.3	13.1
Deferred revenue	7.0	9.7
Other tax assets	8.0	8.1
Gross deferred tax assets	170.1	157.3
Valuation allowance	(18.3)	(10.3)
Net deferred tax liabilities	$ (118.7)	$ (122.1)