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GOODWILL AND OTHER INTANGIBLE ASSETS - Goodwill (Details) $ in Millions	3 Months Ended
	Mar. 30, 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	35.7
Impairments	0.0
Gross goodwill related to foreign currency translation	0.7
Accumulated impairments related to foreign currency translation	(0.8)
Goodwill related to foreign currency translation	(0.1)
Gross goodwill, end of the period	919.3
Accumulated impairment, balance at the end of the period	(489.3)
Goodwill, balance at the end of the period	430.0
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	0.0
Impairments	0.0
Gross goodwill related to foreign currency translation	(0.2)
Accumulated impairments related to foreign currency translation	(0.2)
Goodwill related to foreign currency translation	(0.4)
Gross goodwill, end of the period	261.6
Accumulated impairment, balance at the end of the period	(144.6)
Goodwill, balance at the end of the period	117.0
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	35.7
Impairments	0.0
Gross goodwill related to foreign currency translation	1.5
Accumulated impairments related to foreign currency translation	(1.2)
Goodwill related to foreign currency translation	0.3
Gross goodwill, end of the period	302.2
Accumulated impairment, balance at the end of the period	(135.5)
Goodwill, balance at the end of the period	166.7
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	(0.6)
Accumulated impairments related to foreign currency translation	0.6
Goodwill related to foreign currency translation	0.0
Gross goodwill, end of the period	334.7
Accumulated impairment, balance at the end of the period	(188.4)
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	36.5
Cues, Inc.
Changes in the carrying amount of goodwill
Goodwill, purchase accounting adjustment	$ (0.8)

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