Operations by Industry Segment and Geographic Area - Schedule of Segment Information and Related Reconciliations (Details) - USD ($) $ in Millions				12 Months Ended
	Oct. 01, 2024	Oct. 01, 2023	Oct. 01, 2022	Dec. 31, 2024	Dec. 31, 2023	Dec. 31, 2022
Segment Reporting Information [Line Items]
Net sales				$ 1,305.1	$ 1,338.2	$ 1,274.5
Reconciliation of Reportable Segment Operating Adjusted EBITDA to "Income before income taxes"
Segment Operating Adjusted EBITDA - reportable segments				158.7	153.1	117.2
Goodwill impairment	$ 0.0	$ 0.0	$ 0.0	(20.2)	0.0	0.0
Asset impairment				0.0	(1.2)	(3.5)
Restructuring and other related charges				(8.4)	(5.8)	(9.0)
Gain on sale of property, equipment and business, net				1.1	3.1	0.7
Net (loss) income attributable to noncontrolling interest				0.2	(0.2)	0.5
Income before income taxes				13.9	42.8	4.4
Reconciliation of reportable segment assets to "Total assets"
Total assets - reportable segments				1,868.1	1,841.7	1,699.8
Total assets				1,043.6	1,059.3	1,014.4
Reconciliation of reportable segment capital expenditures to "Expenditures for property and equipment"
Total capital expenditures				20.5	34.1	40.7
Elimination of intercompany receivables
Reconciliation of reportable segment assets to "Total assets"
Total assets				(1,121.1)	(999.4)	(842.2)
Elimination of investment in subsidiaries
Reconciliation of reportable segment assets to "Total assets"
Total assets				(522.9)	(521.5)	(465.8)
Other
Reconciliation of reportable segment assets to "Total assets"
Total assets				(44.9)	(32.4)	(22.7)
Operating Segments
Segment Reporting Information [Line Items]
Net sales				1,360.4	1,377.0	1,313.0
Reconciliation of Reportable Segment Operating Adjusted EBITDA to "Income before income taxes"
Segment Operating Adjusted EBITDA - reportable segments				158.7	153.1	117.2
Transformation program				(32.8)	(29.2)	(25.5)
Goodwill impairment				(20.2)	0.0	0.0
Asset impairment				0.0	(1.2)	(3.5)
Restructuring and other related charges				(9.5)	(7.7)	(6.2)
Gain on sale of property, equipment and business, net				1.1	3.1	0.7
Transaction costs				(0.8)	0.0	(2.0)
Interest expense, net				(8.7)	(6.8)	(1.5)
Depreciation and amortization				(26.8)	(25.6)	(27.9)
Net (loss) income attributable to noncontrolling interest				(0.2)	0.2	(0.5)
Reconciliation of reportable segment capital expenditures to "Expenditures for property and equipment"
Total capital expenditures				20.2	33.7	40.1
Operating Segments | Elimination of intersegment revenues
Segment Reporting Information [Line Items]
Net sales				55.3	38.8	38.5
Corporate and Other
Reconciliation of Reportable Segment Operating Adjusted EBITDA to "Income before income taxes"
Segment Operating Adjusted EBITDA - reportable segments				(46.9)	(43.1)	(46.4)
Asset impairment				0.0	(0.8)	(1.0)
Reconciliation of reportable segment assets to "Total assets"
Total assets				864.4	770.9	645.3
Reconciliation of reportable segment capital expenditures to "Expenditures for property and equipment"
Total capital expenditures				$ 0.3	$ 0.4	$ 0.6