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Revenue Recognition, Disaggregation of Revenue (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Mar. 31, 2019
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2019
Mar. 31, 2018
Mar. 31, 2017
Disaggregation of Revenue [Abstract]                      
Net sales $ 556.7 $ 541.0 $ 548.9 $ 566.1 $ 566.6 $ 512.7 $ 508.3 $ 515.5 $ 2,212.7 $ 2,103.1 $ 1,503.0
Contract with Customer, Asset and Liability [Abstract]                      
Contract assets 22.6       13.5       22.6 13.5  
Contract liabilities 4.0       $ 6.8       4.0 6.8  
Increase in contract assets                 9.1    
Contract assets recorded for revenue recognized over time $ 7.4               7.4    
(Decrease) in contract liabilities                 (2.8)    
Automotive [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 542.8 526.0 461.0
Commercial Vehicle [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 387.6 381.7 382.5
Off-Highway [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 314.1 271.2 202.8
Commercial HVAC&R [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 674.0 648.3 323.8
Data Center Cooling [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 187.0 137.6 57.1
Industrial Cooling [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 47.8 67.6 18.6
Other [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 59.4 70.7 57.2
VTS [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 1,351.7 1,295.7 1,152.2
VTS [Member] | Products Transferred at a Point in Time [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 1,308.5    
VTS [Member] | Products Transferred Over Time [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 43.2    
VTS [Member] | Americas [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 613.7    
VTS [Member] | Europe [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 538.2    
VTS [Member] | Asia [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 199.8    
VTS [Member] | Automotive [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 542.8    
VTS [Member] | Commercial Vehicle [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 387.6    
VTS [Member] | Off-Highway [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 314.1    
VTS [Member] | Commercial HVAC&R [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 0.0    
VTS [Member] | Data Center Cooling [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 0.0    
VTS [Member] | Industrial Cooling [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 0.0    
VTS [Member] | Other [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 107.2    
CIS [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 707.6 675.7 231.8
CIS [Member] | Products Transferred at a Point in Time [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 571.1    
CIS [Member] | Products Transferred Over Time [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 136.5    
CIS [Member] | Americas [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 413.6    
CIS [Member] | Europe [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 244.8    
CIS [Member] | Asia [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 49.2    
CIS [Member] | Automotive [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 0.0    
CIS [Member] | Commercial Vehicle [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 0.0    
CIS [Member] | Off-Highway [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 0.0    
CIS [Member] | Commercial HVAC&R [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 506.3    
CIS [Member] | Data Center Cooling [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 145.7    
CIS [Member] | Industrial Cooling [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 47.8    
CIS [Member] | Other [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 7.8    
BHVAC [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 212.4 191.2 171.6
BHVAC [Member] | Products Transferred at a Point in Time [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 212.4    
BHVAC [Member] | Products Transferred Over Time [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 0.0    
BHVAC [Member] | Americas [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 124.9    
BHVAC [Member] | Europe [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 87.5    
BHVAC [Member] | Asia [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 0.0    
BHVAC [Member] | Automotive [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 0.0    
BHVAC [Member] | Commercial Vehicle [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 0.0    
BHVAC [Member] | Off-Highway [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 0.0    
BHVAC [Member] | Commercial HVAC&R [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 167.7    
BHVAC [Member] | Data Center Cooling [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 41.3    
BHVAC [Member] | Industrial Cooling [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 0.0    
BHVAC [Member] | Other [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 3.4    
Total Segments [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 2,271.7 $ 2,162.6 $ 1,555.6
Total Segments [Member] | Products Transferred at a Point in Time [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 2,092.0    
Total Segments [Member] | Products Transferred Over Time [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 179.7    
Total Segments [Member] | Americas [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 1,152.2    
Total Segments [Member] | Europe [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 870.5    
Total Segments [Member] | Asia [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 249.0    
Total Segments [Member] | Automotive [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 542.8    
Total Segments [Member] | Commercial Vehicle [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 387.6    
Total Segments [Member] | Off-Highway [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 314.1    
Total Segments [Member] | Commercial HVAC&R [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 674.0    
Total Segments [Member] | Data Center Cooling [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 187.0    
Total Segments [Member] | Industrial Cooling [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 47.8    
Total Segments [Member] | Other [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 $ 118.4