Quarterly Financial Data (Unaudited) - Narrative (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Dec. 31, 2023	Oct. 01, 2023	Jul. 02, 2023	Apr. 02, 2023	Jan. 01, 2023	Oct. 02, 2022	Jul. 03, 2022	Apr. 03, 2022	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Restructuring Cost and Reserve [Line Items]
Restructuring and other charges (credits)	$ 88.3	$ 4.2	$ 10.6	$ 1.2		$ 17.3	$ 85.8	$ 25.8
Restructuring and other charges, net of tax	84.7	4.0	10.2	$ 1.1		16.3	85.9	25.8
Gain (loss) on asset sales and sale of business, net									$ (0.6)	$ (105.4)	$ 13.8
Restructuring charges		(0.5)				(2.6)	(1.3)	(1.1)
Valuation allowance benefit	(140.3)
Other nonoperating income (expense), litigation reserve						$ (19.9)		(8.6)	0.0	(28.5)	0.0
Net gain (loss) on sale of businesses									0.0	0.0	13.8
Pension remeasurement gain (loss)									(26.8)	100.3	147.2
Northbrook, IL Operations
Restructuring Cost and Reserve [Line Items]
Gain (loss) on asset sales and sale of business, net			(0.6)
Sheffield, UK Operations
Restructuring Cost and Reserve [Line Items]
Net gain (loss) on sale of businesses							$ (87.1)	(25.1)		(112.2)
Pico Rivera, CA Operations
Restructuring Cost and Reserve [Line Items]
Gain (Loss) on disposition of other assets								$ 6.8		6.8
Start Up Costs
Restructuring Cost and Reserve [Line Items]
Restructuring and other charges (credits)	3.0		4.5
Restructuring charges		2.8							11.5
Employee Severance
Restructuring Cost and Reserve [Line Items]
Restructuring and other charges (credits)			2.7
Restructuring charges									7.7	$ (4.8)	$ (12.0)
Severance-related Restructuring Charges
Restructuring Cost and Reserve [Line Items]
Restructuring and other charges (credits)	5.5
Facility Closing | Robinson, PA
Restructuring Cost and Reserve [Line Items]
Restructuring and other charges (credits)			$ 2.8
Facility Closing | Europe
Restructuring Cost and Reserve [Line Items]
Restructuring and other charges (credits)	11.3
Unplanned Outage Costs
Restructuring Cost and Reserve [Line Items]
Restructuring charges		$ 1.9							$ 1.9
Pension Plan Remeasurement Loss
Restructuring Cost and Reserve [Line Items]
Restructuring and other charges (credits)	26.8				$ (100.3)
Pension Plan Settlement Loss
Restructuring Cost and Reserve [Line Items]
Restructuring and other charges (credits)	$ 41.7