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GOODWILL AND OTHER INTANGIBLE ASSETS - Goodwill (Details) $ in Millions	3 Months Ended
	Apr. 03, 2021 USD ($)
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period	$ 975.0
Accumulated impairment, balance at the beginning of the period	(475.1)
Goodwill, balance at the beginning of the period	499.9
Goodwill Resulting from Business Combinations	2.8
Impairments	0.0
Gross goodwill related to foreign currency translation	(5.4)
Accumulated impairments related to foreign currency translation	2.9
Goodwill related to foreign currency translation	(2.5)
Gross goodwill, end of the period	972.4
Accumulated impairment, balance at the end of the period	(472.2)
Goodwill, balance at the end of the period	500.2
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	2.0
HVAC reportable segment
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period	281.4
Accumulated impairment, balance at the beginning of the period	(144.8)
Goodwill, balance at the beginning of the period	136.6
Goodwill Resulting from Business Combinations	0.0
Impairments	0.0
Gross goodwill related to foreign currency translation	(1.4)
Accumulated impairments related to foreign currency translation	(0.1)
Goodwill related to foreign currency translation	(1.5)
Gross goodwill, end of the period	280.0
Accumulated impairment, balance at the end of the period	(144.9)
Goodwill, balance at the end of the period	135.1
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	2.8
Impairments	0.0
Gross goodwill related to foreign currency translation	(0.4)
Accumulated impairments related to foreign currency translation	(0.6)
Goodwill related to foreign currency translation	(1.0)
Gross goodwill, end of the period	353.9
Accumulated impairment, balance at the end of the period	(135.1)
Goodwill, balance at the end of the period	218.8
Engineered Solutions reportable segment
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period	342.1
Accumulated impairment, balance at the beginning of the period	(195.8)
Goodwill, balance at the beginning of the period	146.3
Goodwill Resulting from Business Combinations	0.0
Impairments	0.0
Gross goodwill related to foreign currency translation	(3.6)
Accumulated impairments related to foreign currency translation	3.6
Goodwill related to foreign currency translation	0.0
Gross goodwill, end of the period	338.5
Accumulated impairment, balance at the end of the period	(192.2)
Goodwill, balance at the end of the period	146.3
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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-Name Accounting Standards Codification
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-SubTopic 210
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