Segment, Geographic, and Product Information - Schedule of Revenues by Product Family (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2025	Sep. 30, 2024	Sep. 30, 2023
Segment Reporting Information [Line Items]
Revenues	$ 1,080.4	$ 1,123.1	$ 1,120.8
Pen Needles
Segment Reporting Information [Line Items]
Revenues	784.1	844.4	829.2
Syringes
Segment Reporting Information [Line Items]
Revenues	124.6	126.2	138.1
Safety
Segment Reporting Information [Line Items]
Revenues	137.8	129.4	126.3
Other
Segment Reporting Information [Line Items]
Revenues	14.0	10.3	14.2
Contract Manufacturing
Segment Reporting Information [Line Items]
Revenues	$ 19.9	$ 12.8	$ 13.0