GOODWILL AND OTHER INTANGIBLE ASSETS - Goodwill (Details) $ in Millions	9 Months Ended
	Sep. 30, 2023 USD ($)
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period	$ 954.7
Accumulated impairment, balance at the beginning of the period	(499.4)
Goodwill, balance at the beginning of the period	455.3
Goodwill Resulting from Business Combinations	220.8
Gross goodwill related to foreign currency translation	(1.8)
Accumulated impairments related to foreign currency translation	0.6
Goodwill related to foreign currency translation	(1.2)
Gross goodwill, end of the period	1,173.7
Accumulated impairment, balance at the end of the period	(498.8)
Goodwill, balance at the end of the period	674.9
T. A. Morrison & Co. Inc. (TAMCO)
Changes in the carrying amount of goodwill
Goodwill Resulting from Business Combinations	51.1
ASPEQ Parent Holdings, Inc.
Changes in the carrying amount of goodwill
Goodwill Resulting from Business Combinations	168.9
International Tower Lighting, LLC
Changes in the carrying amount of goodwill
Increase in goodwill	0.8
HVAC reportable segment
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period	529.5
Accumulated impairment, balance at the beginning of the period	(328.2)
Goodwill, balance at the beginning of the period	201.3
Goodwill Resulting from Business Combinations	220.0
Gross goodwill related to foreign currency translation	(1.2)
Accumulated impairments related to foreign currency translation	0.9
Goodwill related to foreign currency translation	(0.3)
Gross goodwill, end of the period	748.3
Accumulated impairment, balance at the end of the period	(327.3)
Goodwill, balance at the end of the period	421.0
Detection and Measurement reportable segment
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period	425.2
Accumulated impairment, balance at the beginning of the period	(171.2)
Goodwill, balance at the beginning of the period	254.0
Goodwill Resulting from Business Combinations	0.8
Gross goodwill related to foreign currency translation	(0.6)
Accumulated impairments related to foreign currency translation	(0.3)
Goodwill related to foreign currency translation	(0.9)
Gross goodwill, end of the period	425.4
Accumulated impairment, balance at the end of the period	(171.5)
Goodwill, balance at the end of the period	$ 253.9