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GOODWILL AND OTHER INTANGIBLE ASSETS - Goodwill (Details) $ in Millions	9 Months Ended
	Sep. 28, 2019 USD ($)
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period	$ 882.9
Accumulated impairment, balance at the beginning of the period	(488.5)
Goodwill, balance at the beginning of the period	394.4
Goodwill, acquired during period	38.0
Impairments	0.0
Gross goodwill related to foreign currency translation	(5.8)
Accumulated impairments related to foreign currency translation	2.8
Goodwill related to foreign currency translation	(3.0)
Gross goodwill, end of the period	915.1
Accumulated impairment, balance at the end of the period	(485.7)
Goodwill, balance at the end of the period	429.4
HVAC reportable segment
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period	261.8
Accumulated impairment, balance at the beginning of the period	(144.4)
Goodwill, balance at the beginning of the period	117.4
Goodwill, acquired during period	1.9
Impairments	0.0
Gross goodwill related to foreign currency translation	(1.5)
Accumulated impairments related to foreign currency translation	0.1
Goodwill related to foreign currency translation	(1.4)
Gross goodwill, end of the period	262.2
Accumulated impairment, balance at the end of the period	(144.3)
Goodwill, balance at the end of the period	117.9
Detection and Measurement reportable segment
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period	265.0
Accumulated impairment, balance at the beginning of the period	(134.3)
Goodwill, balance at the beginning of the period	130.7
Goodwill, acquired during period	36.1
Impairments	0.0
Gross goodwill related to foreign currency translation	(2.3)
Accumulated impairments related to foreign currency translation	0.7
Goodwill related to foreign currency translation	(1.6)
Gross goodwill, end of the period	298.8
Accumulated impairment, balance at the end of the period	(133.6)
Goodwill, balance at the end of the period	165.2
Engineered Solutions reportable segment
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period	335.3
Accumulated impairment, balance at the beginning of the period	(189.0)
Goodwill, balance at the beginning of the period	146.3
Goodwill, acquired during period	0.0
Impairments	0.0
Gross goodwill related to foreign currency translation	(2.0)
Accumulated impairments related to foreign currency translation	2.0
Goodwill related to foreign currency translation	0.0
Gross goodwill, end of the period	333.3
Accumulated impairment, balance at the end of the period	(187.0)
Goodwill, balance at the end of the period	146.3
All Other
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period	20.8
Accumulated impairment, balance at the beginning of the period	(20.8)
Goodwill, balance at the beginning of the period	0.0
Goodwill, acquired during period	0.0
Impairments	0.0
Gross goodwill related to foreign currency translation	0.0
Accumulated impairments related to foreign currency translation	0.0
Goodwill related to foreign currency translation	0.0
Gross goodwill, end of the period	20.8
Accumulated impairment, balance at the end of the period	(20.8)
Goodwill, balance at the end of the period	0.0
Sabik Marine
Changes in the carrying amount of goodwill
Goodwill, acquired during period	36.9
SGS Refrigeration Inc.
Changes in the carrying amount of goodwill
Goodwill, acquired during period	1.9
Cues, Inc.
Changes in the carrying amount of goodwill
Goodwill, purchase accounting adjustment	$ 0.8

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