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Revenue Recognition (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2020
Sep. 30, 2019
Mar. 31, 2020
Disaggregation of Revenue [Abstract]          
Net sales $ 461.4 $ 500.2 $ 809.2 $ 1,029.2  
Contract with Customer, Asset and Liability [Abstract]          
Contract assets 14.6   14.6   $ 21.7
Contract liabilities 8.4   8.4   $ 5.6
Decrease in contract assets     (7.1)    
Increase in contract liabilities     2.8    
Total Segments [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 471.5 515.6 827.2 1,063.4  
Total Segments [Member] | Products Transferred at a Point in Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 452.1 482.7 792.4 998.2  
Total Segments [Member] | Products Transferred Over Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 19.4 32.9 34.8 65.2  
Total Segments [Member] | Americas [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 221.6 269.2 382.9 548.8  
Total Segments [Member] | Europe [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 183.9 189.7 320.1 397.6  
Total Segments [Member] | Asia [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 66.0 56.7 124.2 117.0  
Total Segments [Member] | Commercial HVAC&R [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 153.4 162.0 279.8 330.9  
Total Segments [Member] | Data Center Cooling [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 28.0 36.2 56.8 71.0  
Total Segments [Member] | Industrial Cooling [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 12.7 11.7 24.6 23.1  
Total Segments [Member] | Commercial Vehicle [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 65.3 81.8 113.7 180.5  
Total Segments [Member] | Off-Highway [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 58.9 59.6 113.0 133.5  
Total Segments [Member] | Automotive and Light Vehicle [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 125.6 135.1 193.0 264.3  
Total Segments [Member] | Other [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 27.6 29.2 46.3 60.1  
CIS [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 134.1 156.7 256.6 325.5  
CIS [Member] | Products Transferred at a Point in Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 122.9 132.4 232.2 276.3  
CIS [Member] | Products Transferred Over Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 11.2 24.3 24.4 49.2  
CIS [Member] | Americas [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 67.6 86.0 127.5 183.1  
CIS [Member] | Europe [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 53.0 57.5 103.9 116.1  
CIS [Member] | Asia [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 13.5 13.2 25.2 26.3  
CIS [Member] | Commercial HVAC&R [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 105.3 115.9 199.2 246.8  
CIS [Member] | Data Center Cooling [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 14.4 26.7 28.2 50.9  
CIS [Member] | Industrial Cooling [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 12.7 11.7 24.6 23.1  
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 1.7 2.4 4.6 4.7  
BHVAC [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 61.9 56.0 109.5 105.0  
BHVAC [Member] | Products Transferred at a Point in Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 61.9 56.0 109.5 105.0  
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 38.5 38.1 64.5 67.2  
BHVAC [Member] | Europe [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 23.4 17.9 45.0 37.8  
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 48.1 46.1 80.6 84.1  
BHVAC [Member] | Data Center Cooling [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 13.6 9.5 28.6 20.1  
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 0.2 0.4 0.3 0.8  
HDE [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 165.6 187.2 289.1 403.6  
HDE [Member] | Products Transferred at a Point in Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 157.4 178.6 278.7 387.6  
HDE [Member] | Products Transferred Over Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 8.2 8.6 10.4 16.0  
HDE [Member] | Americas [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 98.6 127.5 166.5 263.5  
HDE [Member] | Europe [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 32.1 31.7 56.2 78.1  
HDE [Member] | Asia [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 34.9 28.0 66.4 62.0  
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 61.5 76.1 107.8 168.8  
HDE [Member] | Off-Highway [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 58.1 56.7 111.5 126.9  
HDE [Member] | Automotive and Light Vehicle [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 28.0 30.4 41.0 57.2  
HDE [Member] | Other [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 18.0 24.0 28.8 50.7  
Automotive [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 109.9 115.7 172.0 229.3  
Automotive [Member] | Products Transferred at a Point in Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 109.9 115.7 172.0 229.3  
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 16.9 17.6 24.4 35.0  
Automotive [Member] | Europe [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 75.4 82.6 115.0 165.6  
Automotive [Member] | Asia [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 17.6 15.5 32.6 28.7  
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 3.8 5.7 5.9 11.7  
Automotive [Member] | Off-Highway [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 0.8 2.9 1.5 6.6  
Automotive [Member] | Automotive and Light Vehicle [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 97.6 104.7 152.0 207.1  
Automotive [Member] | Other [Member]          
Disaggregation of Revenue [Abstract]          
Net sales $ 7.7 $ 2.4 $ 12.6 $ 3.9