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GOODWILL AND OTHER INTANGIBLE ASSETS - Narrative (Details) - USD ($)
$ in Millions
Mar. 28, 2020
Dec. 31, 2019
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, net $ 95.1 $ 98.3
Goodwill 446.6 $ 449.3
Cues, Inc.    
Finite-Lived Intangible Assets [Line Items]    
Percentage of fair value in excess of carrying amount   10.00%
Goodwill 47.9  
HVAC reportable segment    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, net 26.5  
Goodwill 131.2 $ 132.5
Detection and Measurement reportable segment    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, net 68.6  
Goodwill 169.1 170.5
Engineered Solutions reportable segment    
Finite-Lived Intangible Assets [Line Items]    
Goodwill 146.3 146.3
Trademarks    
Finite-Lived Intangible Assets [Line Items]    
Trademarks 152.5 $ 153.4
Trademarks | HVAC reportable segment    
Finite-Lived Intangible Assets [Line Items]    
Trademarks 96.1  
Trademarks | Detection and Measurement reportable segment    
Finite-Lived Intangible Assets [Line Items]    
Trademarks 47.3  
Trademarks | Engineered Solutions reportable segment    
Finite-Lived Intangible Assets [Line Items]    
Trademarks $ 9.1