Narrative (Details) - USD ($) $ in Millions	3 Months Ended			12 Months Ended
	Dec. 31, 2023	Jul. 03, 2022	Apr. 03, 2022	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022	Aug. 13, 2021	Jan. 03, 2021
NOL and Tax Credit Carryforwards [Line Items]
Valuation allowance				$ (198.8)	$ (84.4)	$ (29.2)
Valuation allowance benefit	$ (140.3)
Discrete tax effects related to valuation allowance						11.6
Additional valuation allowance required						5.2
Accumulated other comprehensive loss, net of tax	83.2			83.2	67.4	141.3		$ 1,223.6
Goodwill				0.0	0.0	2.6
Deferred taxes for foreign withholding taxes	7.7			7.7
Reclassification from Accumulated Other Comprehensive Income, Current Period, Net of Tax				(7.2)	(16.8)	(0.2)
Goodwill	(227.2)			(227.2)	(227.2)
Income tax provision (benefit)				(128.2)	15.5	26.8
Recognition of stranded deferred tax balance				0.0	0.0	3.9
Settlement gain (loss)				(1.1)	(0.7)	21.9
Tax expense for the recognition of a stranded deferred tax balance arising from deferred tax valuation allowances that was associated with certain postretirement medical benefits due to plan termination						6.4
Loss on asset sales and sales of businesses, net				0.0	0.0	(13.8)
State and local income taxes, net of federal tax benefit				1.2	2.9	0.4
Other Comprehensive Income (Loss), Net of Tax, Portion Attributable to Parent				(15.8)	73.9	1,082.3
Valuation Allowance Benefit
NOL and Tax Credit Carryforwards [Line Items]
State and local income taxes, net of federal tax benefit				(7.8)
Collective-Bargaining Arrangement, Other
NOL and Tax Credit Carryforwards [Line Items]
Income tax provision (benefit)						15.5
Flowform Products
NOL and Tax Credit Carryforwards [Line Items]
Goodwill							$ (12.2)
Loss on asset sales and sales of businesses, net						(13.8)
Sheffield, UK Operations
NOL and Tax Credit Carryforwards [Line Items]
Loss on asset sales and sales of businesses, net		$ 87.1	$ 25.1		112.2
Accumulated Deferred Tax Asset Valuation Allowance
NOL and Tax Credit Carryforwards [Line Items]
Accumulated other comprehensive loss, net of tax	(24.1)			(24.1)	(23.9)	(5.1)		50.3
Reclassification from Accumulated Other Comprehensive Income, Current Period, Net of Tax				(0.2)	(18.8)	(12.5)
Other Comprehensive Income (Loss), Net of Tax, Portion Attributable to Parent				0.2	18.8	55.4
Post- retirement benefit plans [Member]
NOL and Tax Credit Carryforwards [Line Items]
Accumulated other comprehensive loss, net of tax	$ 32.5			32.5	34.7	86.6		$ 1,119.9
Reclassification from Accumulated Other Comprehensive Income, Current Period, Net of Tax				(5.1)	(10.6)	3.6
Other Comprehensive Income (Loss), Net of Tax, Portion Attributable to Parent				2.2	51.9	1,033.3
Post- retirement benefit plans [Member] | Reclassification out of Accumulated Other Comprehensive Income [Member]
NOL and Tax Credit Carryforwards [Line Items]
Income tax provision (benefit)				(1.4)	(2.8)	6.2
Settlement gain (loss)				$ (1.1)	$ (0.7)	$ 21.9