Revenue Recognition (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Dec. 31, 2020	Dec. 31, 2019	Dec. 31, 2020	Dec. 31, 2019	Mar. 31, 2020
Disaggregation of Revenue [Abstract]
Net sales	$ 484.3	$ 473.4	$ 1,293.5	$ 1,502.6
Contract with Customer, Asset and Liability [Abstract]
Contract assets	5.1		5.1		$ 21.7
Contract liabilities	6.0		6.0		5.6
Decrease in contract assets			(16.6)
Increase in contract liabilities			0.4
Liquid-Cooled Automotive Business [Member]
Contract with Customer, Asset and Liability [Abstract]
Contract assets held for sale					7.2
Contract liabilities held for sale					$ 1.3
Total Segments [Member]
Disaggregation of Revenue [Abstract]
Net sales	497.2	487.8	1,324.4	1,551.2
Total Segments [Member] | Products Transferred at a Point in Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	479.7	451.5	1,272.1	1,449.7
Total Segments [Member] | Products Transferred Over Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	17.5	36.3	52.3	101.5
Total Segments [Member] | Americas [Member]
Disaggregation of Revenue [Abstract]
Net sales	234.1	244.7	617.0	793.5
Total Segments [Member] | Europe [Member]
Disaggregation of Revenue [Abstract]
Net sales	192.0	185.6	512.1	583.2
Total Segments [Member] | Asia [Member]
Disaggregation of Revenue [Abstract]
Net sales	71.1	57.5	195.3	174.5
Total Segments [Member] | Commercial HVAC&R [Member]
Disaggregation of Revenue [Abstract]
Net sales	160.3	157.4	440.1	488.3
Total Segments [Member] | Data Center Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	24.0	41.4	80.8	112.4
Total Segments [Member] | Industrial Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	12.0	10.4	36.6	33.5
Total Segments [Member] | Commercial Vehicle [Member]
Disaggregation of Revenue [Abstract]
Net sales	72.5	68.3	186.2	248.8
Total Segments [Member] | Off-Highway [Member]
Disaggregation of Revenue [Abstract]
Net sales	69.1	55.1	182.1	188.6
Total Segments [Member] | Automotive and Light Vehicle [Member]
Disaggregation of Revenue [Abstract]
Net sales	134.2	126.3	327.2	390.6
Total Segments [Member] | Other [Member]
Disaggregation of Revenue [Abstract]
Net sales	25.1	28.9	71.4	89.0
CIS [Member]
Disaggregation of Revenue [Abstract]
Net sales	129.0	147.5	385.6	473.0
CIS [Member] | Products Transferred at a Point in Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	119.5	119.3	351.7	395.6
CIS [Member] | Products Transferred Over Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	9.5	28.2	33.9	77.4
CIS [Member] | Americas [Member]
Disaggregation of Revenue [Abstract]
Net sales	66.4	78.1	193.9	261.2
CIS [Member] | Europe [Member]
Disaggregation of Revenue [Abstract]
Net sales	52.4	57.6	156.3	173.7
CIS [Member] | Asia [Member]
Disaggregation of Revenue [Abstract]
Net sales	10.2	11.8	35.4	38.1
CIS [Member] | Commercial HVAC&R [Member]
Disaggregation of Revenue [Abstract]
Net sales	103.8	104.3	303.0	351.1
CIS [Member] | Data Center Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	11.8	30.2	40.0	81.1
CIS [Member] | Industrial Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	12.0	10.4	36.6	33.5
CIS [Member] | Commercial Vehicle [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
CIS [Member] | Off-Highway [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
CIS [Member] | Automotive and Light Vehicle [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
CIS [Member] | Other [Member]
Disaggregation of Revenue [Abstract]
Net sales	1.4	2.6	6.0	7.3
BHVAC [Member]
Disaggregation of Revenue [Abstract]
Net sales	68.7	64.9	178.2	169.9
BHVAC [Member] | Products Transferred at a Point in Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	68.7	64.9	178.2	169.9
BHVAC [Member] | Products Transferred Over Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
BHVAC [Member] | Americas [Member]
Disaggregation of Revenue [Abstract]
Net sales	45.0	43.2	109.5	110.4
BHVAC [Member] | Europe [Member]
Disaggregation of Revenue [Abstract]
Net sales	23.7	21.7	68.7	59.5
BHVAC [Member] | Asia [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
BHVAC [Member] | Commercial HVAC&R [Member]
Disaggregation of Revenue [Abstract]
Net sales	56.5	53.1	137.1	137.2
BHVAC [Member] | Data Center Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	12.2	11.2	40.8	31.3
BHVAC [Member] | Industrial Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
BHVAC [Member] | Commercial Vehicle [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
BHVAC [Member] | Off-Highway [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
BHVAC [Member] | Automotive and Light Vehicle [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
BHVAC [Member] | Other [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.6	0.3	1.4
HDE [Member]
Disaggregation of Revenue [Abstract]
Net sales	185.6	164.9	474.7	568.5
HDE [Member] | Products Transferred at a Point in Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	177.6	156.8	456.3	544.4
HDE [Member] | Products Transferred Over Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	8.0	8.1	18.4	24.1
HDE [Member] | Americas [Member]
Disaggregation of Revenue [Abstract]
Net sales	107.9	106.2	274.4	369.7
HDE [Member] | Europe [Member]
Disaggregation of Revenue [Abstract]
Net sales	35.0	29.2	91.2	107.3
HDE [Member] | Asia [Member]
Disaggregation of Revenue [Abstract]
Net sales	42.7	29.5	109.1	91.5
HDE [Member] | Commercial HVAC&R [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
HDE [Member] | Data Center Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
HDE [Member] | Industrial Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
HDE [Member] | Commercial Vehicle [Member]
Disaggregation of Revenue [Abstract]
Net sales	67.0	63.2	174.8	232.0
HDE [Member] | Off-Highway [Member]
Disaggregation of Revenue [Abstract]
Net sales	68.3	51.6	179.8	178.5
HDE [Member] | Automotive and Light Vehicle [Member]
Disaggregation of Revenue [Abstract]
Net sales	28.8	27.8	69.8	85.0
HDE [Member] | Other [Member]
Disaggregation of Revenue [Abstract]
Net sales	21.5	22.3	50.3	73.0
Automotive [Member]
Disaggregation of Revenue [Abstract]
Net sales	113.9	110.5	285.9	339.8
Automotive [Member] | Products Transferred at a Point in Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	113.9	110.5	285.9	339.8
Automotive [Member] | Products Transferred Over Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
Automotive [Member] | Americas [Member]
Disaggregation of Revenue [Abstract]
Net sales	14.8	17.2	39.2	52.2
Automotive [Member] | Europe [Member]
Disaggregation of Revenue [Abstract]
Net sales	80.9	77.1	195.9	242.7
Automotive [Member] | Asia [Member]
Disaggregation of Revenue [Abstract]
Net sales	18.2	16.2	50.8	44.9
Automotive [Member] | Commercial HVAC&R [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
Automotive [Member] | Data Center Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
Automotive [Member] | Industrial Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
Automotive [Member] | Commercial Vehicle [Member]
Disaggregation of Revenue [Abstract]
Net sales	5.5	5.1	11.4	16.8
Automotive [Member] | Off-Highway [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.8	3.5	2.3	10.1
Automotive [Member] | Automotive and Light Vehicle [Member]
Disaggregation of Revenue [Abstract]
Net sales	105.4	98.5	257.4	305.6
Automotive [Member] | Other [Member]
Disaggregation of Revenue [Abstract]
Net sales	$ 2.2	$ 3.4	$ 14.8	$ 7.3