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Revenue Recognition, Disaggregation of Revenue (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2018
Dec. 31, 2017
Mar. 31, 2018
Disaggregation of Revenue [Abstract]          
Net sales $ 541.0 $ 512.7 $ 1,656.0 $ 1,536.5  
Contract with Customer, Asset and Liability [Abstract]          
Contract assets 25.5   25.5   $ 13.5
Contract liabilities 5.6   5.6   $ 6.8
Increase in contract assets     12.0    
Contract assets recorded for revenue recognized over time 8.2   8.2    
(Decrease) in contract liabilities     (1.2)    
VTS [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 323.3 313.0 1,011.7 938.9  
VTS [Member] | Products Transferred at a Point in Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 309.4   974.7    
VTS [Member] | Products Transferred Over Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 13.9   37.0    
VTS [Member] | Americas [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 150.7   460.8    
VTS [Member] | Europe [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 124.9   400.6    
VTS [Member] | Asia [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 47.7   150.3    
VTS [Member] | Automotive [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 130.4   411.9    
VTS [Member] | Commercial Vehicle [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 92.0   287.5    
VTS [Member] | Off-Highway [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 74.2   234.9    
VTS [Member] | Commercial HVAC [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 0.0   0.0    
VTS [Member] | Commercial Refrigeration [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 0.0   0.0    
VTS [Member] | Data Center Cooling [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 0.0   0.0    
VTS [Member] | Industrial Cooling [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 0.0   0.0    
VTS [Member] | Other [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 26.7   77.4    
CIS [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 167.0 159.0 529.1 494.2  
CIS [Member] | Products Transferred at a Point in Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 128.7   426.2    
CIS [Member] | Products Transferred Over Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 38.3   102.9    
CIS [Member] | Americas [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 96.0   304.0    
CIS [Member] | Europe [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 59.8   187.0    
CIS [Member] | Asia [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 11.2   38.1    
CIS [Member] | Automotive [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 0.0   0.0    
CIS [Member] | Commercial Vehicle [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 0.0   0.0    
CIS [Member] | Off-Highway [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 0.0   0.0    
CIS [Member] | Commercial HVAC [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 72.2   237.4    
CIS [Member] | Commercial Refrigeration [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 42.4   140.1    
CIS [Member] | Data Center Cooling [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 40.2   110.3    
CIS [Member] | Industrial Cooling [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 11.8   36.4    
CIS [Member] | Other [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 0.4   4.9    
BHVAC [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 64.2 56.1 159.9 147.9  
BHVAC [Member] | Products Transferred at a Point in Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 64.2   159.9    
BHVAC [Member] | Products Transferred Over Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 0.0   0.0    
BHVAC [Member] | Americas [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 40.9   98.0    
BHVAC [Member] | Europe [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 23.3   61.9    
BHVAC [Member] | Asia [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 0.0   0.0    
BHVAC [Member] | Automotive [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 0.0   0.0    
BHVAC [Member] | Commercial Vehicle [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 0.0   0.0    
BHVAC [Member] | Off-Highway [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 0.0   0.0    
BHVAC [Member] | Commercial HVAC [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 53.2   130.6    
BHVAC [Member] | Commercial Refrigeration [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 0.0   0.0    
BHVAC [Member] | Data Center Cooling [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 11.0   29.3    
BHVAC [Member] | Industrial Cooling [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 0.0   0.0    
BHVAC [Member] | Other [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 0.0   0.0    
Total Segments [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 554.5 $ 528.1 1,700.7 $ 1,581.0  
Total Segments [Member] | Products Transferred at a Point in Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 502.3   1,560.8    
Total Segments [Member] | Products Transferred Over Time [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 52.2   139.9    
Total Segments [Member] | Americas [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 287.6   862.8    
Total Segments [Member] | Europe [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 208.0   649.5    
Total Segments [Member] | Asia [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 58.9   188.4    
Total Segments [Member] | Automotive [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 130.4   411.9    
Total Segments [Member] | Commercial Vehicle [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 92.0   287.5    
Total Segments [Member] | Off-Highway [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 74.2   234.9    
Total Segments [Member] | Commercial HVAC [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 125.4   368.0    
Total Segments [Member] | Commercial Refrigeration [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 42.4   140.1    
Total Segments [Member] | Data Center Cooling [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 51.2   139.6    
Total Segments [Member] | Industrial Cooling [Member]          
Disaggregation of Revenue [Abstract]          
Net sales 11.8   36.4    
Total Segments [Member] | Other [Member]          
Disaggregation of Revenue [Abstract]          
Net sales $ 27.1   $ 82.3