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Revenue Recognition, Disaggregation of Revenue (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Mar. 31, 2020
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2018
Disaggregation of Revenue [Abstract]                      
Net sales $ 472.9 $ 473.4 $ 500.2 $ 529.0 $ 556.7 $ 541.0 $ 548.9 $ 566.1 $ 1,975.5 $ 2,212.7 $ 2,103.1
Contract with Customer, Asset and Liability [Abstract]                      
Contract assets 21.7       22.6       21.7 22.6  
Contract liabilities $ 5.6       $ 4.0       5.6 4.0  
Decrease in contract assets                 (0.9)    
Increase in contract liabilities                 1.6    
Automotive [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 508.8 542.8 526.0
Commercial Vehicle [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 323.7 387.6 381.7
Off-Highway [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 253.9 314.1 271.2
Commercial HVAC&R [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 639.7 674.0 648.3
Data Center Cooling [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 150.2 187.0 137.6
Industrial Cooling [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 43.5 47.8 67.6
Other [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 55.7 59.4 70.7
VTS [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 1,177.2 1,351.7 1,295.7
VTS [Member] | Products Transferred at a Point in Time [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 1,146.4 1,308.5  
VTS [Member] | Products Transferred Over Time [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 30.8 43.2  
VTS [Member] | Americas [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 554.4 613.7  
VTS [Member] | Europe [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 449.3 538.2  
VTS [Member] | Asia [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 173.5 199.8  
VTS [Member] | Automotive [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 508.8 542.8  
VTS [Member] | Commercial Vehicle [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 323.7 387.6  
VTS [Member] | Off-Highway [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 253.9 314.1  
VTS [Member] | Commercial HVAC&R [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                 90.8 107.2  
CIS [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 623.9 707.6 675.7
CIS [Member] | Products Transferred at a Point in Time [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 518.2 571.1  
CIS [Member] | Products Transferred Over Time [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 105.7 136.5  
CIS [Member] | Americas [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 345.9 413.6  
CIS [Member] | Europe [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 232.6 244.8  
CIS [Member] | Asia [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 45.4 49.2  
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&R [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 463.1 506.3  
CIS [Member] | Data Center Cooling [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 107.5 145.7  
CIS [Member] | Industrial Cooling [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 43.5 47.8  
CIS [Member] | Other [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 9.8 7.8  
BHVAC [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 221.1 212.4 191.2
BHVAC [Member] | Products Transferred at a Point in Time [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 221.1 212.4  
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                 139.1 124.9  
BHVAC [Member] | Europe [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 82.0 87.5  
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&R [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 176.6 167.7  
BHVAC [Member] | Data Center Cooling [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 42.7 41.3  
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                 1.8 3.4  
Total Segments [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 2,022.2 2,271.7 $ 2,162.6
Total Segments [Member] | Products Transferred at a Point in Time [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 1,885.7 2,092.0  
Total Segments [Member] | Products Transferred Over Time [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 136.5 179.7  
Total Segments [Member] | Americas [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 1,039.4 1,152.2  
Total Segments [Member] | Europe [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 763.9 870.5  
Total Segments [Member] | Asia [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 218.9 249.0  
Total Segments [Member] | Automotive [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 508.8 542.8  
Total Segments [Member] | Commercial Vehicle [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 323.7 387.6  
Total Segments [Member] | Off-Highway [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 253.9 314.1  
Total Segments [Member] | Commercial HVAC&R [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 639.7 674.0  
Total Segments [Member] | Data Center Cooling [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 150.2 187.0  
Total Segments [Member] | Industrial Cooling [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 43.5 47.8  
Total Segments [Member] | Other [Member]                      
Disaggregation of Revenue [Abstract]                      
Net sales                 $ 102.4 $ 118.4