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GOODWILL AND OTHER INTANGIBLE ASSETS - Narrative (Details) - USD ($)
$ in Millions
Apr. 03, 2021
Dec. 31, 2020
Finite-Lived Intangible Assets [Line Items]    
Aggregate carrying value of definite lived intangible assets $ 136.9 $ 141.1
Goodwill $ 500.2 499.9
Minimum    
Finite-Lived Intangible Assets [Line Items]    
Percentage of fair value in excess of carrying amount 75.00%  
Cues    
Finite-Lived Intangible Assets [Line Items]    
Percentage of fair value in excess of carrying amount 12.00%  
Goodwill $ 47.9  
Patterson-Kelley, LLC    
Finite-Lived Intangible Assets [Line Items]    
Percentage of fair value in excess of carrying amount 3.00%  
Goodwill $ 14.2  
ULC Robotics    
Finite-Lived Intangible Assets [Line Items]    
Goodwill 38.4  
HVAC reportable segment    
Finite-Lived Intangible Assets [Line Items]    
Aggregate carrying value of definite lived intangible assets 23.8  
Goodwill 135.1 136.6
Detection and Measurement reportable segment    
Finite-Lived Intangible Assets [Line Items]    
Aggregate carrying value of definite lived intangible assets 113.1  
Goodwill 218.8 217.0
Engineered Solutions    
Finite-Lived Intangible Assets [Line Items]    
Goodwill 146.3 146.3
Trademarks    
Finite-Lived Intangible Assets [Line Items]    
Trademarks 163.4 $ 163.9
Trademarks | HVAC reportable segment    
Finite-Lived Intangible Assets [Line Items]    
Trademarks 96.4  
Trademarks | Detection and Measurement reportable segment    
Finite-Lived Intangible Assets [Line Items]    
Trademarks 57.9  
Trademarks | Engineered Solutions    
Finite-Lived Intangible Assets [Line Items]    
Trademarks $ 9.1