Revenue Recognition (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Dec. 31, 2019	Dec. 31, 2018	Dec. 31, 2019	Dec. 31, 2018	Mar. 31, 2019
Disaggregation of Revenue [Abstract]
Net sales	$ 473.4	$ 541.0	$ 1,502.6	$ 1,656.0
Contract with Customer, Asset and Liability [Abstract]
Contract assets	22.3		22.3		$ 22.6
Contract liabilities	5.7		5.7		$ 4.0
Decrease in contract assets			(0.3)
Increase in contract liabilities			1.7
VTS [Member]
Disaggregation of Revenue [Abstract]
Net sales	271.9	323.3	897.7	1,011.7
VTS [Member] | Products Transferred at a Point in Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	263.8	309.4	873.6	974.7
VTS [Member] | Products Transferred Over Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	8.1	13.9	24.1	37.0
VTS [Member] | Americas [Member]
Disaggregation of Revenue [Abstract]
Net sales	123.3	150.7	421.5	460.8
VTS [Member] | Europe [Member]
Disaggregation of Revenue [Abstract]
Net sales	102.9	124.9	340.0	400.6
VTS [Member] | Asia [Member]
Disaggregation of Revenue [Abstract]
Net sales	45.7	47.7	136.2	150.3
VTS [Member] | Automotive [Member]
Disaggregation of Revenue [Abstract]
Net sales	126.3	130.4	390.6	411.9
VTS [Member] | Commercial Vehicle [Member]
Disaggregation of Revenue [Abstract]
Net sales	68.3	92.0	248.8	287.5
VTS [Member] | Off-Highway [Member]
Disaggregation of Revenue [Abstract]
Net sales	55.1	74.2	188.6	234.9
VTS [Member] | Commercial HVAC&R [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
VTS [Member] | Data Center Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
VTS [Member] | Industrial Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
VTS [Member] | Other [Member]
Disaggregation of Revenue [Abstract]
Net sales	22.2	26.7	69.7	77.4
CIS [Member]
Disaggregation of Revenue [Abstract]
Net sales	147.5	167.0	473.0	529.1
CIS [Member] | Products Transferred at a Point in Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	119.3	128.7	395.6	426.2
CIS [Member] | Products Transferred Over Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	28.2	38.3	77.4	102.9
CIS [Member] | Americas [Member]
Disaggregation of Revenue [Abstract]
Net sales	78.1	96.0	261.2	304.0
CIS [Member] | Europe [Member]
Disaggregation of Revenue [Abstract]
Net sales	57.6	59.8	173.7	187.0
CIS [Member] | Asia [Member]
Disaggregation of Revenue [Abstract]
Net sales	11.8	11.2	38.1	38.1
CIS [Member] | Automotive [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
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] | Commercial HVAC&R [Member]
Disaggregation of Revenue [Abstract]
Net sales	104.3	114.6	351.1	377.5
CIS [Member] | Data Center Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	30.2	40.2	81.1	110.3
CIS [Member] | Industrial Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	10.4	11.8	33.5	36.4
CIS [Member] | Other [Member]
Disaggregation of Revenue [Abstract]
Net sales	2.6	0.4	7.3	4.9
BHVAC [Member]
Disaggregation of Revenue [Abstract]
Net sales	64.9	64.2	169.9	159.9
BHVAC [Member] | Products Transferred at a Point in Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	64.9	64.2	169.9	159.9
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	43.2	40.9	110.4	98.0
BHVAC [Member] | Europe [Member]
Disaggregation of Revenue [Abstract]
Net sales	21.7	23.3	59.5	61.9
BHVAC [Member] | Asia [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
BHVAC [Member] | Automotive [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] | Commercial HVAC&R [Member]
Disaggregation of Revenue [Abstract]
Net sales	53.1	53.2	137.2	130.6
BHVAC [Member] | Data Center Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	11.2	11.0	31.3	29.3
BHVAC [Member] | Industrial Cooling [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	0.6	0.0	1.4	0.0
Total Segments [Member]
Disaggregation of Revenue [Abstract]
Net sales	484.3	554.5	1,540.6	1,700.7
Total Segments [Member] | Products Transferred at a Point in Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	448.0	502.3	1,439.1	1,560.8
Total Segments [Member] | Products Transferred Over Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	36.3	52.2	101.5	139.9
Total Segments [Member] | Americas [Member]
Disaggregation of Revenue [Abstract]
Net sales	244.6	287.6	793.1	862.8
Total Segments [Member] | Europe [Member]
Disaggregation of Revenue [Abstract]
Net sales	182.2	208.0	573.2	649.5
Total Segments [Member] | Asia [Member]
Disaggregation of Revenue [Abstract]
Net sales	57.5	58.9	174.3	188.4
Total Segments [Member] | Automotive [Member]
Disaggregation of Revenue [Abstract]
Net sales	126.3	130.4	390.6	411.9
Total Segments [Member] | Commercial Vehicle [Member]
Disaggregation of Revenue [Abstract]
Net sales	68.3	92.0	248.8	287.5
Total Segments [Member] | Off-Highway [Member]
Disaggregation of Revenue [Abstract]
Net sales	55.1	74.2	188.6	234.9
Total Segments [Member] | Commercial HVAC&R [Member]
Disaggregation of Revenue [Abstract]
Net sales	157.4	167.8	488.3	508.1
Total Segments [Member] | Data Center Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	41.4	51.2	112.4	139.6
Total Segments [Member] | Industrial Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	10.4	11.8	33.5	36.4
Total Segments [Member] | Other [Member]
Disaggregation of Revenue [Abstract]
Net sales	$ 25.4	$ 27.1	$ 78.4	$ 82.3