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GOODWILL AND OTHER INTANGIBLE ASSETS - Goodwill (Details)
$ in Millions
 6 Months Ended
Jul. 01, 2023
USD ($)
Changes in the carrying amount of goodwill  
Gross goodwill, beginning of the period $ 954.7
Accumulated impairment, balance at the beginning of the period (499.4)
Goodwill, balance at the beginning of the period 455.3
Goodwill Resulting from Business Combinations 220.7
Gross goodwill related to foreign currency translation 7.4
Accumulated impairments related to foreign currency translation (3.5)
Goodwill related to foreign currency translation 3.9
Gross goodwill, end of the period 1,182.8
Accumulated impairment, balance at the end of the period (502.9)
Goodwill, balance at the end of the period 679.9
TAMCO  
Changes in the carrying amount of goodwill  
Goodwill Resulting from Business Combinations 50.6
ASPEQ Parent Holdings, Inc.  
Changes in the carrying amount of goodwill  
Goodwill Resulting from Business Combinations 169.3
International Tower Lighting, LLC  
Changes in the carrying amount of goodwill  
Increase in goodwill 0.8
HVAC reportable segment  
Changes in the carrying amount of goodwill  
Gross goodwill, beginning of the period 529.5
Accumulated impairment, balance at the beginning of the period (328.2)
Goodwill, balance at the beginning of the period 201.3
Goodwill Resulting from Business Combinations 219.9
Gross goodwill related to foreign currency translation 3.6
Accumulated impairments related to foreign currency translation (2.2)
Goodwill related to foreign currency translation 1.4
Gross goodwill, end of the period 753.0
Accumulated impairment, balance at the end of the period (330.4)
Goodwill, balance at the end of the period 422.6
Detection and Measurement reportable segment  
Changes in the carrying amount of goodwill  
Gross goodwill, beginning of the period 425.2
Accumulated impairment, balance at the beginning of the period (171.2)
Goodwill, balance at the beginning of the period 254.0
Goodwill Resulting from Business Combinations 0.8
Gross goodwill related to foreign currency translation 3.8
Accumulated impairments related to foreign currency translation (1.3)
Goodwill related to foreign currency translation 2.5
Gross goodwill, end of the period 429.8
Accumulated impairment, balance at the end of the period (172.5)
Goodwill, balance at the end of the period $ 257.3