SEGMENT INFORMATION (Details) $ in Millions	3 Months Ended		6 Months Ended
	Jun. 27, 2020 USD ($)	Jun. 29, 2019 USD ($)	Jun. 27, 2020 USD ($) segment	Jun. 29, 2019 USD ($)	Dec. 28, 2019 USD ($)
Segment Reporting Information [Line Items]
Number of operating segments | segment			4
Total Sales	$ 634.1	$ 873.7	$ 1,368.3	$ 1,727.5
Gross Profit	170.3	234.0	373.6	468.6
Operating Expenses	121.6	142.2	253.5	287.4
(Gain) Loss on Divestiture of Businesses	0.0	(4.2)	(0.1)	(45.4)
Asset Impairments	2.8	0.0	4.3	10.0
Income from Operations	45.9	96.0	115.9	216.6
Depreciation and Amortization	33.3	32.2	65.9	66.5
Capital Expenditures	9.5	36.0	20.4	56.2
Assets	4,408.1		4,408.1		$ 4,430.7
Commercial Systems
Segment Reporting Information [Line Items]
Total Sales	175.9	246.3	375.3	488.5
Assets	1,208.5		1,208.5		1,198.5
Industrial Systems
Segment Reporting Information [Line Items]
Total Sales	120.6	155.5	250.2	293.6
Assets	801.9		801.9		802.8
Climate Solutions
Segment Reporting Information [Line Items]
Total Sales	178.2	267.9	388.3	531.2
Assets	861.8		861.8		878.3
Power Transmission Solutions
Segment Reporting Information [Line Items]
Total Sales	159.4	204.0	354.5	414.2
Assets	1,535.9		1,535.9		$ 1,551.1
Intersegment Eliminations
Segment Reporting Information [Line Items]
Total Sales	30.5	35.0	54.2	65.3
Intersegment Eliminations | Commercial Systems
Segment Reporting Information [Line Items]
Total Sales	(16.9)	(13.4)	(28.7)	(23.9)
Intersegment Eliminations | Industrial Systems
Segment Reporting Information [Line Items]
Total Sales	(9.1)	(10.4)	(15.8)	(19.8)
Intersegment Eliminations | Climate Solutions
Segment Reporting Information [Line Items]
Total Sales	(3.9)	(4.5)	(8.4)	(9.0)
Intersegment Eliminations | Power Transmission Solutions
Segment Reporting Information [Line Items]
Total Sales	(0.6)	(6.7)	(1.3)	(12.6)
Operating Segments | Commercial Systems
Segment Reporting Information [Line Items]
Total Sales	192.8	259.7	404.0	512.4
Gross Profit	42.4	65.3	93.1	130.8
Operating Expenses	34.2	42.7	71.7	85.0
(Gain) Loss on Divestiture of Businesses		1.8	(0.1)	(39.5)
Asset Impairments	2.0		2.8	6.7
Income from Operations	6.2	20.8	18.7	78.6
Depreciation and Amortization	8.3	8.4	16.6	17.8
Capital Expenditures	2.2	10.7	5.3	17.4
Operating Segments | Industrial Systems
Segment Reporting Information [Line Items]
Total Sales	129.7	165.9	266.0	313.4
Gross Profit	24.9	27.7	47.5	51.6
Operating Expenses	21.7	29.0	44.6	56.2
(Gain) Loss on Divestiture of Businesses		0.0	0.0	0.1
Asset Impairments	0.0		0.2	0.9
Income from Operations	3.2	(1.3)	2.7	(5.6)
Depreciation and Amortization	6.0	5.6	11.9	11.7
Capital Expenditures	2.3	7.5	4.3	13.9
Operating Segments | Climate Solutions
Segment Reporting Information [Line Items]
Total Sales	182.1	272.4	396.7	540.2
Gross Profit	47.4	74.8	106.8	145.5
Operating Expenses	26.6	29.2	56.0	59.7
(Gain) Loss on Divestiture of Businesses		(6.1)	0.0	(6.1)
Asset Impairments	0.8		1.3	1.3
Income from Operations	20.0	51.7	49.5	90.6
Depreciation and Amortization	5.0	4.5	9.7	9.4
Capital Expenditures	2.6	9.7	6.2	12.6
Operating Segments | Power Transmission Solutions
Segment Reporting Information [Line Items]
Total Sales	160.0	210.7	355.8	426.8
Gross Profit	55.6	66.2	126.2	140.7
Operating Expenses	39.1	41.3	81.2	86.5
(Gain) Loss on Divestiture of Businesses		0.1	0.0	0.1
Asset Impairments	0.0		0.0	1.1
Income from Operations	16.5	24.8	45.0	53.0
Depreciation and Amortization	14.0	13.7	27.7	27.6
Capital Expenditures	$ 2.4	$ 8.1	$ 4.6	$ 12.3