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SEGMENT INFORMATION (Details)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 28, 2019
USD ($)
Sep. 29, 2018
USD ($)
Sep. 28, 2019
USD ($)
segment
Sep. 29, 2018
USD ($)
Dec. 29, 2018
USD ($)
Segment Reporting Information [Line Items]          
Number of operating segments | segment     3    
Total Sales $ 772.3 $ 925.4 $ 2,499.8 $ 2,763.9  
Gross Profit 201.9 242.6 670.5 724.9  
Operating Expenses 128.9 155.0 416.3 449.5  
Goodwill Impairment 0.0 9.5 0.0 9.5  
Loss (Gain) on Divestiture of Businesses 0.2 0.0 (45.2) 0.0  
Asset Impairments 0.0 8.7 10.0 8.7  
Income from Operations 72.8 69.4 289.4 257.2  
Depreciation and Amortization 33.9 35.3 100.4 106.3  
Capital Expenditures 21.1 18.7 77.3 59.2  
Assets 4,478.3   4,478.3   $ 4,623.8
Commercial and Industrial Systems          
Segment Reporting Information [Line Items]          
Total Sales 358.6 462.3 1,140.7 1,345.3  
Assets 2,018.7   2,018.7   2,108.0
Climate Solutions          
Segment Reporting Information [Line Items]          
Total Sales 230.9 255.4 762.1 792.6  
Assets 899.5   899.5   907.7
Power Transmission Solutions          
Segment Reporting Information [Line Items]          
Total Sales 182.8 207.7 597.0 626.0  
Assets 1,560.1   1,560.1   $ 1,608.1
Intersegment Eliminations          
Segment Reporting Information [Line Items]          
Total Sales (16.9) (23.0) (59.1) (73.9)  
Intersegment Eliminations | Commercial and Industrial Systems          
Segment Reporting Information [Line Items]          
Total Sales 11.5 11.7 42.7 39.3  
Intersegment Eliminations | Climate Solutions          
Segment Reporting Information [Line Items]          
Total Sales 4.2 5.7 13.1 17.0  
Intersegment Eliminations | Power Transmission Solutions          
Segment Reporting Information [Line Items]          
Total Sales 1.2 5.6 3.3 17.6  
Operating Segments | Commercial and Industrial Systems          
Segment Reporting Information [Line Items]          
Total Sales 370.1 474.0 1,183.4 1,384.6  
Gross Profit 77.2 109.8 259.6 315.3  
Operating Expenses 62.8 74.5 204.0 220.4  
Goodwill Impairment   0.0   0.0  
Loss (Gain) on Divestiture of Businesses 0.1   (39.3)    
Asset Impairments   0.0 7.6 0.0  
Income from Operations 14.3 35.3 87.3 94.9  
Depreciation and Amortization 14.8 16.4 44.3 49.0  
Capital Expenditures 11.0 11.3 42.3 31.2  
Operating Segments | Climate Solutions          
Segment Reporting Information [Line Items]          
Total Sales 235.1 261.1 775.2 809.6  
Gross Profit 64.2 62.1 209.7 198.7  
Operating Expenses 26.5 37.9 86.2 98.2  
Goodwill Impairment   9.5   9.5  
Loss (Gain) on Divestiture of Businesses 0.1   (6.0)    
Asset Impairments   8.7 1.3 8.7  
Income from Operations 37.6 6.0 128.2 82.3  
Depreciation and Amortization 5.1 5.4 14.5 16.0  
Capital Expenditures 6.8 3.6 19.4 16.0  
Operating Segments | Power Transmission Solutions          
Segment Reporting Information [Line Items]          
Total Sales 184.0 213.3 600.3 643.6  
Gross Profit 60.5 70.7 201.2 210.9  
Operating Expenses 39.6 42.6 126.1 130.9  
Goodwill Impairment   0.0   0.0  
Loss (Gain) on Divestiture of Businesses 0.0   0.1    
Asset Impairments   0.0 1.1 0.0  
Income from Operations 20.9 28.1 73.9 80.0  
Depreciation and Amortization 14.0 13.5 41.6 41.3  
Capital Expenditures $ 3.3 $ 3.8 $ 15.6 $ 12.0