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GOODWILL AND OTHER INTANGIBLE ASSETS - Goodwill (Details) $ in Millions	6 Months Ended
	Jul. 03, 2021 USD ($)
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period	$ 843.7
Accumulated impairment, balance at the beginning of the period	(475.1)
Goodwill, balance at the beginning of the period	368.6
Goodwill Resulting from Business Combinations	42.8
Impairments	0.0
Gross goodwill related to foreign currency translation	(4.2)
Accumulated impairments related to foreign currency translation	2.0
Goodwill related to foreign currency translation	(2.2)
Gross goodwill, end of the period	882.3
Accumulated impairment, balance at the end of the period	(473.1)
Goodwill, balance at the end of the period	409.2
Sealite Acquisition
Changes in the carrying amount of goodwill
Goodwill Resulting from Business Combinations	39.6
ULC Robotics
Changes in the carrying amount of goodwill
Goodwill Resulting from Business Combinations	0.8
Sensors & Software
Changes in the carrying amount of goodwill
Goodwill Resulting from Business Combinations	2.4
HVAC reportable segment
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period	492.2
Accumulated impairment, balance at the beginning of the period	(340.6)
Goodwill, balance at the beginning of the period	151.6
Goodwill Resulting from Business Combinations	0.0
Impairments	0.0
Gross goodwill related to foreign currency translation	(3.9)
Accumulated impairments related to foreign currency translation	2.7
Goodwill related to foreign currency translation	(1.2)
Gross goodwill, end of the period	488.3
Accumulated impairment, balance at the end of the period	(337.9)
Goodwill, balance at the end of the period	150.4
Detection and Measurement reportable segment
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period	351.5
Accumulated impairment, balance at the beginning of the period	(134.5)
Goodwill, balance at the beginning of the period	217.0
Goodwill Resulting from Business Combinations	42.8
Impairments	0.0
Gross goodwill related to foreign currency translation	(0.3)
Accumulated impairments related to foreign currency translation	(0.7)
Goodwill related to foreign currency translation	(1.0)
Gross goodwill, end of the period	394.0
Accumulated impairment, balance at the end of the period	(135.2)
Goodwill, balance at the end of the period	258.8
Other
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period	0.0
Accumulated impairment, balance at the beginning of the period	0.0
Goodwill, balance at the beginning of the period	0.0
Goodwill Resulting from Business Combinations	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	0.0
Accumulated impairment, balance at the end of the period	0.0
Goodwill, balance at the end of the period	$ 0.0

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Amount after accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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