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GOODWILL AND OTHER INTANGIBLE ASSETS - Goodwill (Details)
$ in Millions
3 Months Ended
Apr. 02, 2022
USD ($)
Changes in the carrying amount of goodwill  
Gross goodwill, beginning of the period $ 953.8
Accumulated impairment, balance at the beginning of the period (496.5)
Goodwill, balance at the beginning of the period 457.3
Goodwill Resulting from Business Combinations 34.5
Impairments 0.0
Accumulated impairment 0.0
Goodwill, impairment, net of accumulation 0.0
Gross goodwill related to foreign currency translation (3.3)
Accumulated impairments related to foreign currency translation 2.1
Goodwill related to foreign currency translation (1.2)
Gross goodwill, end of the period 985.0
Accumulated impairment, balance at the end of the period (494.4)
Goodwill, balance at the end of the period 490.6
International Tower Lighting, LLC  
Changes in the carrying amount of goodwill  
Goodwill Resulting from Business Combinations 35.6
Cincinnati Fan  
Changes in the carrying amount of goodwill  
Decrease in goodwill 0.7
Sealite Acquisition  
Changes in the carrying amount of goodwill  
Decrease in goodwill 0.4
HVAC reportable segment  
Changes in the carrying amount of goodwill  
Gross goodwill, beginning of the period 528.9
Accumulated impairment, balance at the beginning of the period (334.1)
Goodwill, balance at the beginning of the period 194.8
Goodwill Resulting from Business Combinations (0.7)
Impairments 0.0
Goodwill, impairment, net of accumulation 0.0
Gross goodwill related to foreign currency translation (2.1)
Accumulated impairments related to foreign currency translation 1.4
Goodwill related to foreign currency translation (0.7)
Gross goodwill, end of the period 526.1
Accumulated impairment, balance at the end of the period (332.7)
Goodwill, balance at the end of the period 193.4
Detection and Measurement reportable segment  
Changes in the carrying amount of goodwill  
Gross goodwill, beginning of the period 424.9
Accumulated impairment, balance at the beginning of the period (162.4)
Goodwill, balance at the beginning of the period 262.5
Goodwill Resulting from Business Combinations 35.2
Impairments 0.0
Accumulated impairment 0.0
Goodwill, impairment, net of accumulation 0.0
Gross goodwill related to foreign currency translation (1.2)
Accumulated impairments related to foreign currency translation 0.7
Goodwill related to foreign currency translation (0.5)
Gross goodwill, end of the period 458.9
Accumulated impairment, balance at the end of the period (161.7)
Goodwill, balance at the end of the period $ 297.2