Segment Information (Narrative) (Details) $ in Millions	12 Months Ended
	Dec. 31, 2022 USD ($) segment	Jan. 01, 2022 USD ($)	Jan. 02, 2021
Segment Reporting Information [Line Items]
Number of operating segments (in segment) | segment	4
Assets	$ 10,268.9	$ 10,367.4
Commercial Systems
Segment Reporting Information [Line Items]
Assets	1,253.5	1,264.0
Industrial Systems
Segment Reporting Information [Line Items]
Assets	$ 886.0	$ 859.9
Geographic Concentration Risk | Sales Revenue, Net | United States
Segment Reporting Information [Line Items]
Concentration risk	63.90%	62.10%	64.80%