Accounting Policies (Disaggregation of Revenue) (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Disaggregation of Revenue [Line Items]
Revenue	$ 5,217.9	$ 3,810.3	$ 2,907.0
Commercial Systems
Disaggregation of Revenue [Line Items]
Revenue	1,145.4	1,032.1	820.2
Industrial Systems
Disaggregation of Revenue [Line Items]
Revenue	616.0	576.3	528.8
Climate Solutions
Disaggregation of Revenue [Line Items]
Revenue	1,081.8	1,030.6	846.8
Motion Control Solutions
Disaggregation of Revenue [Line Items]
Revenue	2,374.7	1,171.3	711.2
North America
Disaggregation of Revenue [Line Items]
Revenue	3,856.6	2,775.1	2,183.4
North America | Commercial Systems
Disaggregation of Revenue [Line Items]
Revenue	813.3	696.0	566.9
North America | Industrial Systems
Disaggregation of Revenue [Line Items]
Revenue	361.6	296.2	291.4
North America | Climate Solutions
Disaggregation of Revenue [Line Items]
Revenue	953.6	905.9	752.7
North America | Motion Control Solutions
Disaggregation of Revenue [Line Items]
Revenue	1,728.1	877.0	572.4
Asia
Disaggregation of Revenue [Line Items]
Revenue	504.8	463.0	331.0
Asia | Commercial Systems
Disaggregation of Revenue [Line Items]
Revenue	156.8	182.3	124.9
Asia | Industrial Systems
Disaggregation of Revenue [Line Items]
Revenue	159.1	186.7	150.9
Asia | Climate Solutions
Disaggregation of Revenue [Line Items]
Revenue	31.3	33.7	27.7
Asia | Motion Control Solutions
Disaggregation of Revenue [Line Items]
Revenue	157.6	60.3	27.5
Europe
Disaggregation of Revenue [Line Items]
Revenue	627.1	361.5	247.6
Europe | Commercial Systems
Disaggregation of Revenue [Line Items]
Revenue	134.1	102.7	86.1
Europe | Industrial Systems
Disaggregation of Revenue [Line Items]
Revenue	50.7	46.4	44.8
Europe | Climate Solutions
Disaggregation of Revenue [Line Items]
Revenue	48.1	43.6	30.3
Europe | Motion Control Solutions
Disaggregation of Revenue [Line Items]
Revenue	394.2	168.8	86.4
Rest Of World [Member]
Disaggregation of Revenue [Line Items]
Revenue	229.4	210.7	145.0
Rest Of World [Member] | Commercial Systems
Disaggregation of Revenue [Line Items]
Revenue	41.2	51.1	42.3
Rest Of World [Member] | Industrial Systems
Disaggregation of Revenue [Line Items]
Revenue	44.6	47.0	41.7
Rest Of World [Member] | Climate Solutions
Disaggregation of Revenue [Line Items]
Revenue	48.8	47.4	36.1
Rest Of World [Member] | Motion Control Solutions
Disaggregation of Revenue [Line Items]
Revenue	$ 94.8	$ 65.2	$ 24.9