REVENUES FROM CONTRACTS - Disaggregated Revenue (Details) - USD ($) $ in Millions	3 Months Ended
	Apr. 02, 2022	Apr. 03, 2021
Disaggregation of Revenue [Line Items]
Revenues	$ 307.1	$ 287.2
Revenues recognized at a point in time
Disaggregation of Revenue [Line Items]
Revenues	276.3	250.9
Revenues recognized over time
Disaggregation of Revenue [Line Items]
Revenues	30.8	36.3
Package and process cooling equipment and services, and engineered air quality solutions
Disaggregation of Revenue [Line Items]
Revenues	116.8	101.7
Boilers, comfort heating, and ventilation
Disaggregation of Revenue [Line Items]
Revenues	76.3	73.9
Underground locators, inspection and rehabilitation equipment, and robotic systems
Disaggregation of Revenue [Line Items]
Revenues	67.2	67.4
Communication technologies, obstruction lighting, and bus fare collection systems
Disaggregation of Revenue [Line Items]
Revenues	46.8	44.2
HVAC
Disaggregation of Revenue [Line Items]
Revenues	193.1	175.6
HVAC | Revenues recognized at a point in time
Disaggregation of Revenue [Line Items]
Revenues	173.1	154.4
HVAC | Revenues recognized over time
Disaggregation of Revenue [Line Items]
Revenues	20.0	21.2
HVAC | Package and process cooling equipment and services, and engineered air quality solutions
Disaggregation of Revenue [Line Items]
Revenues	116.8	101.7
HVAC | Boilers, comfort heating, and ventilation
Disaggregation of Revenue [Line Items]
Revenues	76.3	73.9
HVAC | Underground locators, inspection and rehabilitation equipment, and robotic systems
Disaggregation of Revenue [Line Items]
Revenues	0.0	0.0
HVAC | Communication technologies, obstruction lighting, and bus fare collection systems
Disaggregation of Revenue [Line Items]
Revenues	0.0	0.0
Detection and Measurement
Disaggregation of Revenue [Line Items]
Revenues	114.0	111.6
Detection and Measurement | Revenues recognized at a point in time
Disaggregation of Revenue [Line Items]
Revenues	103.2	96.5
Detection and Measurement | Revenues recognized over time
Disaggregation of Revenue [Line Items]
Revenues	10.8	15.1
Detection and Measurement | Package and process cooling equipment and services, and engineered air quality solutions
Disaggregation of Revenue [Line Items]
Revenues	0.0	0.0
Detection and Measurement | Boilers, comfort heating, and ventilation
Disaggregation of Revenue [Line Items]
Revenues	0.0	0.0
Detection and Measurement | Underground locators, inspection and rehabilitation equipment, and robotic systems
Disaggregation of Revenue [Line Items]
Revenues	67.2	67.4
Detection and Measurement | Communication technologies, obstruction lighting, and bus fare collection systems
Disaggregation of Revenue [Line Items]
Revenues	$ 46.8	$ 44.2