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GOODWILL AND OTHER INTANGIBLE ASSETS - Goodwill (Details) - USD ($)
$ in Millions
 6 Months Ended
Apr. 15, 2025
Feb. 10, 2025
Jan. 27, 2025
Jun. 28, 2025
Changes in the carrying amount of goodwill        
Gross goodwill, beginning of the period       $ 1,333.9
Accumulated impairment, balance at the beginning of the period       (499.4)
Goodwill, balance at the beginning of the period       834.5
Goodwill Resulting from Business Combinations       186.0
Gross goodwill related to foreign currency translation       33.3
Accumulated impairments related to foreign currency translation       (12.9)
Goodwill related to foreign currency translation       20.4
Gross goodwill, end of the period       1,553.2
Accumulated impairment, balance at the end of the period       (512.3)
Goodwill, balance at the end of the period       1,040.9
Kranze Technology Solutions, Inc        
Changes in the carrying amount of goodwill        
Goodwill Resulting from Business Combinations     $ 105.0  
Goodwill, balance at the end of the period     $ 105.0 105.0
Sigma & Omega        
Changes in the carrying amount of goodwill        
Goodwill Resulting from Business Combinations $ 75.8      
Goodwill, balance at the end of the period $ 75.8     76.6
Immaterial Acquisition        
Changes in the carrying amount of goodwill        
Goodwill Resulting from Business Combinations   $ 0.0    
HVAC reportable segment        
Changes in the carrying amount of goodwill        
Gross goodwill, beginning of the period       907.3
Accumulated impairment, balance at the beginning of the period       (326.6)
Goodwill, balance at the beginning of the period       580.7
Goodwill Resulting from Business Combinations       81.0
Gross goodwill related to foreign currency translation       21.9
Accumulated impairments related to foreign currency translation       (9.3)
Goodwill related to foreign currency translation       12.6
Gross goodwill, end of the period       1,010.2
Accumulated impairment, balance at the end of the period       (335.9)
Goodwill, balance at the end of the period       674.3
Detection and Measurement reportable segment        
Changes in the carrying amount of goodwill        
Gross goodwill, beginning of the period       426.6
Accumulated impairment, balance at the beginning of the period       (172.8)
Goodwill, balance at the beginning of the period       253.8
Goodwill Resulting from Business Combinations       105.0
Gross goodwill related to foreign currency translation       11.4
Accumulated impairments related to foreign currency translation       (3.6)
Goodwill related to foreign currency translation       7.8
Gross goodwill, end of the period       543.0
Accumulated impairment, balance at the end of the period       (176.4)
Goodwill, balance at the end of the period       $ 366.6