GOODWILL AND OTHER INTANGIBLE ASSETS - Goodwill (Details) - USD ($) $ in Millions		9 Months Ended
	Feb. 07, 2024	Sep. 28, 2024
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period		$ 1,210.4
Accumulated impairment, balance at the beginning of the period		(505.6)
Goodwill, balance at the beginning of the period		704.8
Goodwill Resulting from Business Combinations		148.2
Gross goodwill related to foreign currency translation		3.5
Accumulated impairments related to foreign currency translation		(2.2)
Goodwill related to foreign currency translation		1.3
Gross goodwill, end of the period		1,362.1
Accumulated impairment, balance at the end of the period		(507.8)
Goodwill, balance at the end of the period		854.3
Ingénia Technologies Inc.
Changes in the carrying amount of goodwill
Goodwill Resulting from Business Combinations	$ 142.6
Goodwill, balance at the end of the period	$ 142.6	142.9
ASPEQ Heating Group
Changes in the carrying amount of goodwill
Increase in goodwill		3.9
TAMCO
Changes in the carrying amount of goodwill
Increase in goodwill		1.7
HVAC reportable segment
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period		777.8
Accumulated impairment, balance at the beginning of the period		(331.9)
Goodwill, balance at the beginning of the period		445.9
Goodwill Resulting from Business Combinations		148.2
Gross goodwill related to foreign currency translation		0.5
Accumulated impairments related to foreign currency translation		(0.5)
Goodwill related to foreign currency translation		0.0
Gross goodwill, end of the period		926.5
Accumulated impairment, balance at the end of the period		(332.4)
Goodwill, balance at the end of the period		594.1
Detection and Measurement reportable segment
Changes in the carrying amount of goodwill
Gross goodwill, beginning of the period		432.6
Accumulated impairment, balance at the beginning of the period		(173.7)
Goodwill, balance at the beginning of the period		258.9
Goodwill Resulting from Business Combinations		0.0
Gross goodwill related to foreign currency translation		3.0
Accumulated impairments related to foreign currency translation		(1.7)
Goodwill related to foreign currency translation		1.3
Gross goodwill, end of the period		435.6
Accumulated impairment, balance at the end of the period		(175.4)
Goodwill, balance at the end of the period		$ 260.2