Segment and Geographical Data (Schedule of Geographical Segment Information) (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Revenues from External Customers and Long-Lived Assets [Line Items]
Net sales	$ 2,253.7	$ 2,251.6	$ 2,171.7
Long-Lived Assets	379.9	371.0
Property, plant and equipment, net	349.1	337.9
Cost of products sold	1,298.0	1,310.8	1,291.2
United States
Revenues from External Customers and Long-Lived Assets [Line Items]
Net sales	1,261.8	1,326.1	1,306.5
Long-Lived Assets	227.9	221.6
International
Revenues from External Customers and Long-Lived Assets [Line Items]
Net sales	991.9	925.5	$ 865.2
Germany
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-Lived Assets	70.3	73.7
Other International
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-Lived Assets	$ 81.7	$ 75.7