SEGMENT INFORMATION (Details)	3 Months Ended		6 Months Ended
	Jun. 30, 2022 USD ($)	Jul. 03, 2021 USD ($)	Jun. 30, 2022 USD ($) segment	Jul. 03, 2021 USD ($)	Jan. 01, 2022 USD ($)
Segment Reporting Information [Line Items]
Number of operating segments | segment			4
Total Sales	$ 1,349,400,000	$ 886,900,000	$ 2,647,900,000	$ 1,701,000,000
Gross Profit	433,500,000	257,700,000	855,400,000	507,500,000
Operating Expenses	238,600,000	140,200,000	490,600,000	288,500,000
Asset Impairments	0	2,300,000	0	2,300,000
Total Operating Expenses	238,600,000	142,500,000	490,600,000	290,800,000
Income from Operations	194,900,000	115,200,000	364,800,000	216,700,000
Depreciation and Amortization	78,400,000	30,500,000	156,300,000	62,300,000
Capital Expenditures	19,200,000	13,600,000	32,600,000	24,300,000
Assets	10,458,500,000		10,458,500,000		$ 10,367,400,000
Commercial Systems
Segment Reporting Information [Line Items]
Total Sales	301,900,000	269,300,000	595,200,000	506,300,000
Industrial Systems
Segment Reporting Information [Line Items]
Total Sales	154,700,000	145,200,000	299,400,000	281,600,000
Climate Solutions
Segment Reporting Information [Line Items]
Total Sales	293,500,000	257,300,000	567,400,000	496,400,000
Motion Control Solutions
Segment Reporting Information [Line Items]
Total Sales	599,300,000	215,100,000	1,185,900,000	416,700,000
Intersegment Eliminations
Segment Reporting Information [Line Items]
Total Sales	40,700,000	33,100,000	82,900,000	59,300,000
Intersegment Eliminations | Commercial Systems
Segment Reporting Information [Line Items]
Total Sales	(26,100,000)	(19,900,000)	(54,300,000)	(37,400,000)
Intersegment Eliminations | Industrial Systems
Segment Reporting Information [Line Items]
Total Sales	(7,900,000)	(7,300,000)	(15,200,000)	(11,000,000.0)
Intersegment Eliminations | Climate Solutions
Segment Reporting Information [Line Items]
Total Sales	(4,400,000)	(5,100,000)	(9,200,000)	(9,400,000)
Intersegment Eliminations | Motion Control Solutions
Segment Reporting Information [Line Items]
Total Sales	(2,300,000)	(800,000)	(4,200,000)	(1,500,000)
Operating Segments
Segment Reporting Information [Line Items]
Assets	10,458,500,000		10,458,500,000		10,367,400,000
Operating Segments | Commercial Systems
Segment Reporting Information [Line Items]
Total Sales	328,000,000.0	289,200,000	649,500,000	543,700,000
Gross Profit	82,100,000	69,500,000	176,400,000	136,300,000
Operating Expenses	40,400,000	40,300,000	81,800,000	78,300,000
Asset Impairments		1,800,000		1,800,000
Total Operating Expenses	40,400,000	42,100,000	81,800,000	80,100,000
Income from Operations	41,700,000	27,400,000	94,600,000	56,200,000
Depreciation and Amortization	7,400,000	7,800,000	15,100,000	15,600,000
Capital Expenditures	5,200,000	4,500,000	8,800,000	7,800,000
Assets	1,314,900,000		1,314,900,000		1,264,000,000
Operating Segments | Industrial Systems
Segment Reporting Information [Line Items]
Total Sales	162,600,000	152,500,000	314,600,000	292,600,000
Gross Profit	44,000,000.0	27,400,000	75,300,000	55,400,000
Operating Expenses	22,800,000	23,100,000	46,200,000	46,200,000
Asset Impairments		0		0
Total Operating Expenses	22,800,000	23,100,000	46,200,000	46,200,000
Income from Operations	21,200,000	4,300,000	29,100,000	9,200,000
Depreciation and Amortization	3,400,000	5,700,000	7,000,000.0	11,600,000
Capital Expenditures	2,700,000	3,300,000	4,200,000	5,700,000
Assets	874,000,000.0		874,000,000.0		859,900,000
Operating Segments | Climate Solutions
Segment Reporting Information [Line Items]
Total Sales	297,900,000	262,400,000	576,600,000	505,800,000
Gross Profit	74,600,000	75,500,000	157,800,000	150,900,000
Operating Expenses	30,300,000	27,000,000.0	62,000,000.0	57,700,000
Asset Impairments		500,000		500,000
Total Operating Expenses	30,300,000	27,500,000	62,000,000.0	58,200,000
Income from Operations	44,300,000	48,000,000.0	95,800,000	92,700,000
Depreciation and Amortization	4,400,000	3,600,000	8,800,000	8,100,000
Capital Expenditures	4,600,000	3,000,000.0	8,900,000	6,200,000
Assets	1,028,600,000		1,028,600,000		982,700,000
Operating Segments | Motion Control Solutions
Segment Reporting Information [Line Items]
Total Sales	601,600,000	215,900,000	1,190,100,000	418,200,000
Gross Profit	232,800,000	85,300,000	445,900,000	164,900,000
Operating Expenses	145,100,000	49,800,000	300,600,000	106,300,000
Asset Impairments		0		0
Total Operating Expenses	145,100,000	49,800,000	300,600,000	106,300,000
Income from Operations	87,700,000	35,500,000	145,300,000	58,600,000
Depreciation and Amortization	63,200,000	13,400,000	125,400,000	27,000,000.0
Capital Expenditures	6,700,000	$ 2,800,000	10,700,000	$ 4,600,000
Assets	$ 7,241,000,000		$ 7,241,000,000		$ 7,260,800,000