Accounting Policies (Narrative) (Details)	12 Months Ended
	Dec. 31, 2022 USD ($) segment	Jan. 01, 2022 USD ($)	Jan. 02, 2021 USD ($)	Dec. 28, 2019 USD ($)
Property, Plant and Equipment [Line Items]
Number of operating segments (in segment) | segment	4
Payment terms	due upon delivery to 120 days after delivery
Amortization period	12 months
Research development and engineering costs	$ 106,600,000	$ 74,500,000	$ 67,000,000.0
Increase in allowance for credit loss	11,000,000
ROU assets	47,100,000	50,300,000
Goodwill Impairment	0	33,000,000.0	10,500,000
Impairment of long-lived assets	900,000
Net Sales	5,217,900,000	3,810,300,000	2,907,000,000
Decrease to retained earnings	(6,422,600,000)	(6,408,200,000)	(2,615,400,000)	$ (2,420,400,000)
Disposal Group, Disposed of by Sale, Not Discontinued Operations
Property, Plant and Equipment [Line Items]
Impairment of long-lived assets		5,600,000
Customer Relationships | Hermetic Climate | Disposal Group, Disposed of by Sale, Not Discontinued Operations
Property, Plant and Equipment [Line Items]
Asset Impairments	$ 0	$ 0	$ 0