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OTHER FINANCIAL INFORMATION (Disaggregation of Revenue) (Details) - USD ($)
$ in Millions
3 Months Ended
Apr. 03, 2021
Mar. 28, 2020
Disaggregation of Revenue [Line Items]    
Net Sales $ 814.1 $ 734.2
Commercial Systems    
Disaggregation of Revenue [Line Items]    
Net Sales 237.0 199.4
Industrial Systems    
Disaggregation of Revenue [Line Items]    
Net Sales 136.4 129.6
Climate Solutions    
Disaggregation of Revenue [Line Items]    
Net Sales 239.1 210.1
Power Transmission Solutions    
Disaggregation of Revenue [Line Items]    
Net Sales 201.6 195.1
North America    
Disaggregation of Revenue [Line Items]    
Net Sales 598.7 561.8
North America | Commercial Systems    
Disaggregation of Revenue [Line Items]    
Net Sales 154.1 143.4
North America | Industrial Systems    
Disaggregation of Revenue [Line Items]    
Net Sales 71.1 72.9
North America | Climate Solutions    
Disaggregation of Revenue [Line Items]    
Net Sales 209.7 184.6
North America | Power Transmission Solutions    
Disaggregation of Revenue [Line Items]    
Net Sales 163.8 160.9
Asia    
Disaggregation of Revenue [Line Items]    
Net Sales 105.4 73.7
Asia | Commercial Systems    
Disaggregation of Revenue [Line Items]    
Net Sales 46.0 23.4
Asia | Industrial Systems    
Disaggregation of Revenue [Line Items]    
Net Sales 43.2 36.8
Asia | Climate Solutions    
Disaggregation of Revenue [Line Items]    
Net Sales 9.3 8.6
Asia | Power Transmission Solutions    
Disaggregation of Revenue [Line Items]    
Net Sales 6.9 4.9
Europe    
Disaggregation of Revenue [Line Items]    
Net Sales 69.3 73.2
Europe | Commercial Systems    
Disaggregation of Revenue [Line Items]    
Net Sales 24.7 28.5
Europe | Industrial Systems    
Disaggregation of Revenue [Line Items]    
Net Sales 11.6 13.2
Europe | Climate Solutions    
Disaggregation of Revenue [Line Items]    
Net Sales 9.5 7.6
Europe | Power Transmission Solutions    
Disaggregation of Revenue [Line Items]    
Net Sales 23.5 23.9
Rest-of-World    
Disaggregation of Revenue [Line Items]    
Net Sales 40.7 25.5
Rest-of-World | Commercial Systems    
Disaggregation of Revenue [Line Items]    
Net Sales 12.2 4.1
Rest-of-World | Industrial Systems    
Disaggregation of Revenue [Line Items]    
Net Sales 10.5 6.7
Rest-of-World | Climate Solutions    
Disaggregation of Revenue [Line Items]    
Net Sales 10.6 9.3
Rest-of-World | Power Transmission Solutions    
Disaggregation of Revenue [Line Items]    
Net Sales $ 7.4 $ 5.4