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Revenue Recognition, Disaggregation of Revenue (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2021
Sep. 30, 2020
Mar. 31, 2021
Disaggregation of Revenue [Abstract]          
Net sales $ 478.9 $ 461.4 $ 973.5 $ 809.2  
Contract Balances [Abstract]          
Contract assets 10.4   10.4   $ 5.7
Contract liabilities 7.1   7.1   $ 5.6
Increase in contract assets     4.7    
Increase in contract liabilities     1.5    
Products Transferred at a Point in Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 468.6 452.8 954.7 793.6  
Products Transferred Over Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 23.6 19.4 46.2 34.8  
Americas [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 262.7 221.8 505.2 383.4  
Europe [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 174.0 184.4 379.3 320.8  
Asia [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 55.5 66.0 116.4 124.2  
Commercial HVAC&R [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 193.7 159.8 374.2 291.9  
Data Center Cooling [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 17.3 15.7 35.5 34.1  
Industrial Cooling [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 16.8 18.6 34.0 35.7  
Commercial Vehicle [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 80.5 65.3 163.8 113.7  
Off-Highway [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 78.1 58.9 159.3 113.0  
Automotive and Light Vehicle [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 79.8 125.6 179.7 193.0  
Other [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 26.0 28.3 54.4 47.0  
Segment Total [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 492.2 472.2 1,000.9 828.4  
BHVAC [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 77.5 68.5 144.1 122.6  
BHVAC [Member] | Products Transferred at a Point in Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 74.3 66.4 139.4 117.3  
BHVAC [Member] | Products Transferred Over Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 3.2 2.1 4.7 5.3  
BHVAC [Member] | Americas [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 45.1 38.5 76.6 64.5  
BHVAC [Member] | Europe [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 32.4 30.0 67.5 58.1  
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 60.1 52.5 107.3 88.0  
BHVAC [Member] | Data Center Cooling [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 17.3 15.7 35.5 34.1  
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 0.1 0.3 1.3 0.5  
CIS [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 153.5 128.2 307.6 244.7  
CIS [Member] | Products Transferred at a Point in Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 141.8 119.1 283.2 225.6  
CIS [Member] | Products Transferred Over Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 11.7 9.1 24.4 19.1  
CIS [Member] | Americas [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 83.2 67.8 165.3 128.0  
CIS [Member] | Europe [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 60.8 46.9 126.3 91.5  
CIS [Member] | Asia [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 9.5 13.5 16.0 25.2  
CIS [Member] | Commercial HVAC&R [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 133.6 107.3 266.9 203.9  
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 16.8 18.6 34.0 35.7  
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 3.1 2.3 6.7 5.1  
HDE [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 195.8 165.6 397.6 289.1  
HDE [Member] | Products Transferred at a Point in Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 187.1 157.4 380.5 278.7  
HDE [Member] | Products Transferred Over Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 8.7 8.2 17.1 10.4  
HDE [Member] | Americas [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 126.7 98.6 246.3 166.5  
HDE [Member] | Europe [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 35.4 32.1 76.6 56.2  
HDE [Member] | Asia [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 33.7 34.9 74.7 66.4  
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 76.9 61.5 156.1 107.8  
HDE [Member] | Off-Highway [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 77.0 58.1 156.9 111.5  
HDE [Member] | Automotive and Light Vehicle [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 20.4 28.0 40.8 41.0  
HDE [Member] | Other [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 21.5 18.0 43.8 28.8  
Automotive [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 65.4 109.9 151.6 172.0  
Automotive [Member] | Products Transferred at a Point in Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 65.4 109.9 151.6 172.0  
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 7.7 16.9 17.0 24.4  
Automotive [Member] | Europe [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 45.4 75.4 108.9 115.0  
Automotive [Member] | Asia [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 12.3 17.6 25.7 32.6  
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 3.6 3.8 7.7 5.9  
Automotive [Member] | Off-Highway [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 1.1 0.8 2.4 1.5  
Automotive [Member] | Automotive and Light Vehicle [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 59.4 97.6 138.9 152.0  
Automotive [Member] | Other [Member]          
Disaggregation of Revenue [Abstract]          
Net sales $ 1.3 $ 7.7 $ 2.6 $ 12.6