REVENUES FROM CONTRACTS - Disaggregated Revenue (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Jul. 01, 2023	Jul. 02, 2022	Jul. 01, 2023	Jul. 02, 2022
Disaggregation of Revenue [Line Items]
Revenues	$ 423.3	$ 354.0	$ 823.1	$ 661.1
Revenues recognized at a point in time
Disaggregation of Revenue [Line Items]
Revenues	375.3	313.7	731.8	590.0
Revenues recognized over time
Disaggregation of Revenue [Line Items]
Revenues	48.0	40.3	91.3	71.1
Package and process cooling equipment and services, and engineered air movement solutions
Disaggregation of Revenue [Line Items]
Revenues	173.3	130.5	331.6	247.3
Boilers, electrical heating, and ventilation
Disaggregation of Revenue [Line Items]
Revenues	95.7	88.2	189.0	164.5
Underground locators, inspection and rehabilitation equipment, and robotic systems
Disaggregation of Revenue [Line Items]
Revenues	67.2	65.4	133.1	132.6
Communication technologies, aids to navigation, and transportation systems
Disaggregation of Revenue [Line Items]
Revenues	87.1	69.9	169.4	116.7
HVAC
Disaggregation of Revenue [Line Items]
Revenues	269.0	218.7	520.6	411.8
HVAC \| Revenues recognized at a point in time
Disaggregation of Revenue [Line Items]
Revenues	248.0	202.8	476.3	375.9
HVAC \| Revenues recognized over time
Disaggregation of Revenue [Line Items]
Revenues	21.0	15.9	44.3	35.9
HVAC \| Package and process cooling equipment and services, and engineered air movement solutions
Disaggregation of Revenue [Line Items]
Revenues	173.3	130.5	331.6	247.3
HVAC \| Boilers, electrical heating, and ventilation
Disaggregation of Revenue [Line Items]
Revenues	95.7	88.2	189.0	164.5
HVAC \| Underground locators, inspection and rehabilitation equipment, and robotic systems
Disaggregation of Revenue [Line Items]
Revenues	0.0	0.0	0.0	0.0
HVAC \| Communication technologies, aids to navigation, and transportation systems
Disaggregation of Revenue [Line Items]
Revenues	0.0	0.0	0.0	0.0
Detection and Measurement
Disaggregation of Revenue [Line Items]
Revenues	154.3	135.3	302.5	249.3
Detection and Measurement \| Revenues recognized at a point in time
Disaggregation of Revenue [Line Items]
Revenues	127.3	110.9	255.5	214.1
Detection and Measurement \| Revenues recognized over time
Disaggregation of Revenue [Line Items]
Revenues	27.0	24.4	47.0	35.2
Detection and Measurement \| Package and process cooling equipment and services, and engineered air movement solutions
Disaggregation of Revenue [Line Items]
Revenues	0.0	0.0	0.0	0.0
Detection and Measurement \| Boilers, electrical heating, and ventilation
Disaggregation of Revenue [Line Items]
Revenues	0.0	0.0	0.0	0.0
Detection and Measurement \| Underground locators, inspection and rehabilitation equipment, and robotic systems
Disaggregation of Revenue [Line Items]
Revenues	67.2	65.4	133.1	132.6
Detection and Measurement \| Communication technologies, aids to navigation, and transportation systems
Disaggregation of Revenue [Line Items]
Revenues	$ 87.1	$ 69.9	$ 169.4	$ 116.7