SEGMENT INFORMATION (Details) $ in Millions	3 Months Ended
	Mar. 31, 2022 USD ($) segment	Apr. 03, 2021 USD ($)	Jan. 01, 2022 USD ($)
Segment Reporting Information [Line Items]
Number of operating segments | segment	4
Total Sales	$ 1,298.5	$ 814.1
Gross Profit	421.9	249.8
Operating Expenses	252.0	148.3
Total Operating Expenses	252.0	148.3
Income from Operations	169.9	101.5
Depreciation and Amortization	77.9	31.8
Capital Expenditures	13.4	10.7
Assets	10,471.1		$ 10,367.4
Commercial Systems
Segment Reporting Information [Line Items]
Total Sales	293.3	237.0
Industrial Systems
Segment Reporting Information [Line Items]
Total Sales	144.7	136.4
Climate Solutions
Segment Reporting Information [Line Items]
Total Sales	273.9	239.1
Motion Control Solutions
Segment Reporting Information [Line Items]
Total Sales	586.6	201.6
Intersegment Eliminations
Segment Reporting Information [Line Items]
Total Sales	42.2	26.2
Intersegment Eliminations | Commercial Systems
Segment Reporting Information [Line Items]
Total Sales	(28.2)	(17.5)
Intersegment Eliminations | Industrial Systems
Segment Reporting Information [Line Items]
Total Sales	(7.3)	(3.7)
Intersegment Eliminations | Climate Solutions
Segment Reporting Information [Line Items]
Total Sales	(4.8)	(4.3)
Intersegment Eliminations | Motion Control Solutions
Segment Reporting Information [Line Items]
Total Sales	(1.9)	(0.7)
Operating Segments
Segment Reporting Information [Line Items]
Assets	10,471.1		10,367.4
Operating Segments | Commercial Systems
Segment Reporting Information [Line Items]
Total Sales	321.5	254.5
Gross Profit	94.3	66.8
Operating Expenses	41.4	38.0
Total Operating Expenses	41.4	38.0
Income from Operations	52.9	28.8
Depreciation and Amortization	7.7	7.8
Capital Expenditures	3.6	3.3
Assets	1,306.1		1,264.0
Operating Segments | Industrial Systems
Segment Reporting Information [Line Items]
Total Sales	152.0	140.1
Gross Profit	31.3	28.0
Operating Expenses	23.4	23.1
Total Operating Expenses	23.4	23.1
Income from Operations	7.9	4.9
Depreciation and Amortization	3.6	5.9
Capital Expenditures	1.5	2.4
Assets	874.1		859.9
Operating Segments | Climate Solutions
Segment Reporting Information [Line Items]
Total Sales	278.7	243.4
Gross Profit	83.2	75.4
Operating Expenses	31.7	30.7
Total Operating Expenses	31.7	30.7
Income from Operations	51.5	44.7
Depreciation and Amortization	4.4	4.5
Capital Expenditures	4.3	3.2
Assets	1,006.0		982.7
Operating Segments | Motion Control Solutions
Segment Reporting Information [Line Items]
Total Sales	588.5	202.3
Gross Profit	213.1	79.6
Operating Expenses	155.5	56.5
Total Operating Expenses	155.5	56.5
Income from Operations	57.6	23.1
Depreciation and Amortization	62.2	13.6
Capital Expenditures	4.0	$ 1.8
Assets	$ 7,284.9		$ 7,260.8