REVENUES FROM CONTRACTS - Disaggregated Revenue (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Jul. 02, 2022	Jul. 03, 2021	Jul. 02, 2022	Jul. 03, 2021
Disaggregation of Revenue [Line Items]
Revenues	$ 354.0	$ 296.6	$ 661.1	$ 583.8
Revenues recognized at a point in time
Disaggregation of Revenue [Line Items]
Revenues	313.7	267.8	590.0	518.7
Revenues recognized over time
Disaggregation of Revenue [Line Items]
Revenues	40.3	28.8	71.1	65.1
Package and process cooling equipment and services, and engineered air quality solutions
Disaggregation of Revenue [Line Items]
Revenues	130.5	111.5	247.3	213.2
Boilers, comfort heating, and ventilation
Disaggregation of Revenue [Line Items]
Revenues	88.2	73.9	164.5	147.8
Underground locators, inspection and rehabilitation equipment, and robotic systems
Disaggregation of Revenue [Line Items]
Revenues	65.4	65.9	132.6	133.3
Communication technologies, obstruction lighting, and bus fare collection systems
Disaggregation of Revenue [Line Items]
Revenues	69.9	45.3	116.7	89.5
HVAC
Disaggregation of Revenue [Line Items]
Revenues	218.7	185.4	411.8	361.0
HVAC | Revenues recognized at a point in time
Disaggregation of Revenue [Line Items]
Revenues	202.8	166.3	375.9	320.7
HVAC | Revenues recognized over time
Disaggregation of Revenue [Line Items]
Revenues	15.9	19.1	35.9	40.3
HVAC | Package and process cooling equipment and services, and engineered air quality solutions
Disaggregation of Revenue [Line Items]
Revenues	130.5	111.5	247.3	213.2
HVAC | Boilers, comfort heating, and ventilation
Disaggregation of Revenue [Line Items]
Revenues	88.2	73.9	164.5	147.8
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, obstruction lighting, and bus fare collection systems
Disaggregation of Revenue [Line Items]
Revenues	0.0	0.0	0.0	0.0
Detection and Measurement
Disaggregation of Revenue [Line Items]
Revenues	135.3	111.2	249.3	222.8
Detection and Measurement | Revenues recognized at a point in time
Disaggregation of Revenue [Line Items]
Revenues	110.9	101.5	214.1	198.0
Detection and Measurement | Revenues recognized over time
Disaggregation of Revenue [Line Items]
Revenues	24.4	9.7	35.2	24.8
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	0.0	0.0
Detection and Measurement | Boilers, comfort 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	65.4	65.9	132.6	133.3
Detection and Measurement | Communication technologies, obstruction lighting, and bus fare collection systems
Disaggregation of Revenue [Line Items]
Revenues	$ 69.9	$ 45.3	$ 116.7	$ 89.5