Revenue Recognition, Disaggregation of Revenue (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Dec. 31, 2021	Dec. 31, 2020	Dec. 31, 2021	Dec. 31, 2020	Mar. 31, 2021
Disaggregation of Revenue [Abstract]
Net sales	$ 502.2	$ 484.3	$ 1,475.7	$ 1,293.5
Contract Balances [Abstract]
Contract assets	18.0		18.0		$ 5.7
Contract liabilities	9.9		9.9		5.6
Increase in contract assets			12.3
Increase in contract liabilities			4.3
Products Transferred at a Point in Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	489.8	480.6	1,444.5	1,274.2
Products Transferred Over Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	22.6	17.5	68.8	52.3
Americas [Member]
Disaggregation of Revenue [Abstract]
Net sales	267.1	234.5	772.3	617.9
Europe [Member]
Disaggregation of Revenue [Abstract]
Net sales	184.1	192.5	563.4	513.3
Asia [Member]
Disaggregation of Revenue [Abstract]
Net sales	61.2	71.1	177.6	195.3
Commercial HVAC&R [Member]
Disaggregation of Revenue [Abstract]
Net sales	195.7	166.0	569.9	457.9
Data Center Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	24.2	12.6	59.7	46.7
Industrial Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	16.9	17.5	50.9	53.2
Commercial Vehicle [Member]
Disaggregation of Revenue [Abstract]
Net sales	80.8	72.5	244.6	186.2
Off-Highway [Member]
Disaggregation of Revenue [Abstract]
Net sales	81.7	69.1	241.0	182.1
Automotive and Light Vehicle [Member]
Disaggregation of Revenue [Abstract]
Net sales	87.8	134.2	267.5	327.2
Liquid-Cooled Automotive Business [Member] | Held for Sale [Member]
Contract Balances [Abstract]
Contract assets					7.1
Contract liabilities					$ 2.9
Other [Member]
Disaggregation of Revenue [Abstract]
Net sales	25.3	26.2	79.7	73.2
Segment Total [Member]
Disaggregation of Revenue [Abstract]
Net sales	512.4	498.1	1,513.3	1,326.5
BHVAC [Member]
Disaggregation of Revenue [Abstract]
Net sales	90.6	73.7	234.7	196.3
BHVAC [Member] | Products Transferred at a Point in Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	86.6	73.3	226.0	190.6
BHVAC [Member] | Products Transferred Over Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	4.0	0.4	8.7	5.7
BHVAC [Member] | Americas [Member]
Disaggregation of Revenue [Abstract]
Net sales	55.0	45.0	131.6	109.5
BHVAC [Member] | Europe [Member]
Disaggregation of Revenue [Abstract]
Net sales	35.6	28.7	103.1	86.8
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	66.1	60.9	173.4	148.9
BHVAC [Member] | Data Center Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	24.2	12.6	59.7	46.7
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	0.3	0.2	1.6	0.7
CIS [Member]
Disaggregation of Revenue [Abstract]
Net sales	148.6	124.9	456.2	369.6
CIS [Member] | Products Transferred at a Point in Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	138.6	115.8	421.8	341.4
CIS [Member] | Products Transferred Over Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	10.0	9.1	34.4	28.2
CIS [Member] | Americas [Member]
Disaggregation of Revenue [Abstract]
Net sales	79.4	66.8	244.7	194.8
CIS [Member] | Europe [Member]
Disaggregation of Revenue [Abstract]
Net sales	63.1	47.9	189.4	139.4
CIS [Member] | Asia [Member]
Disaggregation of Revenue [Abstract]
Net sales	6.1	10.2	22.1	35.4
CIS [Member] | Commercial HVAC&R [Member]
Disaggregation of Revenue [Abstract]
Net sales	129.6	105.1	396.5	309.0
CIS [Member] | Data Center Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	0.0	0.0	0.0	0.0
CIS [Member] | Industrial Cooling [Member]
Disaggregation of Revenue [Abstract]
Net sales	16.9	17.5	50.9	53.2
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	2.1	2.3	8.8	7.4
HDE [Member]
Disaggregation of Revenue [Abstract]
Net sales	200.8	185.6	598.4	474.7
HDE [Member] | Products Transferred at a Point in Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	192.2	177.6	572.7	456.3
HDE [Member] | Products Transferred Over Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	8.6	8.0	25.7	18.4
HDE [Member] | Americas [Member]
Disaggregation of Revenue [Abstract]
Net sales	124.7	107.9	371.0	274.4
HDE [Member] | Europe [Member]
Disaggregation of Revenue [Abstract]
Net sales	36.2	35.0	112.8	91.2
HDE [Member] | Asia [Member]
Disaggregation of Revenue [Abstract]
Net sales	39.9	42.7	114.6	109.1
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	77.7	67.0	233.8	174.8
HDE [Member] | Off-Highway [Member]
Disaggregation of Revenue [Abstract]
Net sales	80.6	68.3	237.5	179.8
HDE [Member] | Automotive and Light Vehicle [Member]
Disaggregation of Revenue [Abstract]
Net sales	21.1	28.8	61.9	69.8
HDE [Member] | Other [Member]
Disaggregation of Revenue [Abstract]
Net sales	21.4	21.5	65.2	50.3
Automotive [Member]
Disaggregation of Revenue [Abstract]
Net sales	72.4	113.9	224.0	285.9
Automotive [Member] | Products Transferred at a Point in Time [Member]
Disaggregation of Revenue [Abstract]
Net sales	72.4	113.9	224.0	285.9
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	8.0	14.8	25.0	39.2
Automotive [Member] | Europe [Member]
Disaggregation of Revenue [Abstract]
Net sales	49.2	80.9	158.1	195.9
Automotive [Member] | Asia [Member]
Disaggregation of Revenue [Abstract]
Net sales	15.2	18.2	40.9	50.8
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	3.1	5.5	10.8	11.4
Automotive [Member] | Off-Highway [Member]
Disaggregation of Revenue [Abstract]
Net sales	1.1	0.8	3.5	2.3
Automotive [Member] | Automotive and Light Vehicle [Member]
Disaggregation of Revenue [Abstract]
Net sales	66.7	105.4	205.6	257.4
Automotive [Member] | Other [Member]
Disaggregation of Revenue [Abstract]
Net sales	$ 1.5	$ 2.2	$ 4.1	$ 14.8