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Segment, Geographical Data - Schedule of Revenues by Product Family (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jun. 30, 2025	Jun. 30, 2024	Jun. 30, 2025	Jun. 30, 2024
Segment Reporting Information [Line Items]
Revenues	$ 295.5	$ 272.5	$ 816.4	$ 837.0
Pen Needles
Segment Reporting Information [Line Items]
Revenues	216.9	201.3	596.3	629.3
Syringes
Segment Reporting Information [Line Items]
Revenues	35.1	31.7	92.3	92.5
Safety
Segment Reporting Information [Line Items]
Revenues	34.8	32.4	103.2	96.5
Other
Segment Reporting Information [Line Items]
Revenues	3.2	3.5	9.9	10.6
Contract Manufacturing
Segment Reporting Information [Line Items]
Revenues	$ 5.5	$ 3.6	$ 14.7	$ 8.1

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Amount, excluding tax collected from customer, of revenue from satisfaction of performance obligation by transferring promised good or service to customer. Tax collected from customer is tax assessed by governmental authority that is both imposed on and concurrent with specific revenue-producing transaction, including, but not limited to, sales, use, value added and excise.

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