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GOODWILL AND OTHER INTANGIBLE ASSETS - Narrative (Details) - USD ($)
$ in Millions
Jul. 01, 2023
Dec. 31, 2022
Finite-Lived Intangible Assets [Line Items]    
Estimated annual amortization expense, remainder of the year $ 44.0  
Estimated annual amortization expense, 2023 46.0  
Estimated annual amortization expense, 2024 46.0  
Estimated annual amortization expense, 2025 46.0  
Estimated annual amortization expense, 2026 46.0  
Estimated annual amortization expense, 2027 46.0  
Net Carrying Value 484.9 $ 232.9
Goodwill 679.9 $ 455.3
Minimum    
Finite-Lived Intangible Assets [Line Items]    
Percentage of fair value in excess of carrying amount   10.00%
Cincinnati Fan    
Finite-Lived Intangible Assets [Line Items]    
Goodwill 54.8  
HVAC reportable segment    
Finite-Lived Intangible Assets [Line Items]    
Net Carrying Value 354.1  
Goodwill 422.6 $ 201.3
Detection and Measurement reportable segment    
Finite-Lived Intangible Assets [Line Items]    
Net Carrying Value 130.8  
Goodwill 257.3 254.0
Trademarks    
Finite-Lived Intangible Assets [Line Items]    
Trademarks 220.7 $ 168.7
Trademarks | HVAC reportable segment    
Finite-Lived Intangible Assets [Line Items]    
Trademarks 156.7  
Trademarks | Detection and Measurement reportable segment    
Finite-Lived Intangible Assets [Line Items]    
Trademarks $ 64.0