Segment and Geographical Data (Schedule of Geographical Segment Information) (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020
Revenues from External Customers and Long-Lived Assets [Line Items]
Net sales	$ 2,171.7	$ 2,087.3	$ 1,949.7
Long-Lived Assets	366.1	362.6
Property, plant and equipment, net	345.5	362.6
United States
Revenues from External Customers and Long-Lived Assets [Line Items]
Net sales	1,306.5	1,183.6	1,082.8
Long-Lived Assets	239.3	244.6
International
Revenues from External Customers and Long-Lived Assets [Line Items]
Net sales	865.2	903.7	$ 866.9
Germany
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-Lived Assets	61.1	51.9
Other International
Revenues from External Customers and Long-Lived Assets [Line Items]
Long-Lived Assets	$ 65.7	$ 66.1