Commitments and Contingencies (Details) - USD ($) $ in Millions	3 Months Ended		12 Months Ended
	Oct. 02, 2022	Apr. 03, 2022	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Unrecorded Unconditional Purchase Obligation, Fiscal Year Maturity [Abstract]
Purchase obligation, property, plant, and equipment			$ 86.1
Accrual for Environmental Loss Contingencies [Abstract]
Accrual for environmental remediation obligations			13.0
Accrued environmental loss contingencies recorded in other current liabilities			7.0
Components of Environmental Loss Accrual [Abstract]
Federal Superfund and comparable state-managed sites			3.0
Formerly owned or operated sites			7.0
Owned or controlled sites at which Company operations have been or plan to be discontinued			2.0
Owned or controlled sites with ongoing operations			1.0
Reasonably possible amount by which current matters may exceed reserves			17.0
Other nonoperating income (expense), litigation reserve	$ (19.9)	$ (8.6)	$ 0.0	$ (28.5)	$ 0.0
Environmental Loss Contingency, Statement Of Financial Position, Extensible Enumeration, Not Disclosed Flag			other
Environmental Loss Contingency, Current, Statement of Financial Position [Extensible Enumeration]			Other current liabilities