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Revenue Recognition, Disaggregation of Revenue (Details) - USD ($) $ in Millions | 12 Months Ended
--- | ---
Mar. 31, 2021 | Mar. 31, 2020 | Mar. 31, 2019
Disaggregation of Revenue [Abstract] |  |  |
Net sales | $ 1,808.4 | $ 1,975.5 | $ 2,212.7
Contract Balances [Abstract] |  |  |
Contract assets | 5.7 | 21.7 |
Contract liabilities | 5.6 | 5.6 |
Decrease in contract assets | (16.0) |  |
Liquid and Air-Cooled Automotive Businesses [Member] |  |  |
Contract Balances [Abstract] |  |  |
Contract assets | 7.1 |  |
Liquid and Air-Cooled Automotive Businesses [Member] | Held for Sale [Member] |  |  |
Contract Balances [Abstract] |  |  |
Contract liabilities | 2.9 |  |
Total Segments [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 1,853.0 | 2,035.8 | 2,281.2
Total Segments [Member] | Products Transferred at a Point in Time [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 1,780.4 | 1,899.3 | 2,101.5
Total Segments [Member] | Products Transferred Over Time [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 72.6 | 136.5 | 179.7
Total Segments [Member] | Americas [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 851.1 | 1,039.8 | 1,152.5
Total Segments [Member] | Europe [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 731.4 | 776.8 | 879.1
Total Segments [Member] | Asia [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 270.5 | 219.2 | 249.6
Total Segments [Member] | Commercial HVAC&R [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 602.2 | 639.7 | 674.0
Total Segments [Member] | Data Center Cooling [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 106.0 | 150.2 | 187.0
Total Segments [Member] | Industrial Cooling [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 55.4 | 43.5 | 47.8
Total Segments [Member] | Commercial Vehicle [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 264.8 | 323.7 | 387.6
Total Segments [Member] | Off-Highway [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 264.1 | 253.9 | 314.1
Total Segments [Member] | Automotive and Light Vehicle [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 455.7 | 508.8 | 542.8
Total Segments [Member] | Other [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 104.8 | 116.0 | 127.9
BHVAC [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 240.6 | 221.1 | 212.4
BHVAC [Member] | Products Transferred at a Point in Time [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 240.6 | 221.1 | 212.4
BHVAC [Member] | Products Transferred Over Time [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 0.0 | 0.0 | 0.0
BHVAC [Member] | Americas [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 144.2 | 139.1 | 124.9
BHVAC [Member] | Europe [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 96.4 | 82.0 | 87.5
BHVAC [Member] | Asia [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 0.0 | 0.0 | 0.0
BHVAC [Member] | Commercial HVAC&R [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 181.6 | 176.6 | 167.7
BHVAC [Member] | Data Center Cooling [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 58.7 | 42.7 | 41.3
BHVAC [Member] | Industrial Cooling [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 0.0 | 0.0 | 0.0
BHVAC [Member] | Commercial Vehicle [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 0.0 | 0.0 | 0.0
BHVAC [Member] | Off-Highway [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 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
BHVAC [Member] | Other [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 0.3 | 1.8 | 3.4
CIS [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 532.0 | 623.9 | 707.6
CIS [Member] | Products Transferred at a Point in Time [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 486.3 | 518.2 | 571.1
CIS [Member] | Products Transferred Over Time [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 45.7 | 105.7 | 136.5
CIS [Member] | Americas [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 267.7 | 345.9 | 413.6
CIS [Member] | Europe [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 219.8 | 232.6 | 244.8
CIS [Member] | Asia [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 44.5 | 45.4 | 49.2
CIS [Member] | Commercial HVAC&R [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 420.6 | 463.1 | 506.3
CIS [Member] | Data Center Cooling [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 47.3 | 107.5 | 145.7
CIS [Member] | Industrial Cooling [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 55.4 | 43.5 | 47.8
CIS [Member] | Commercial Vehicle [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 0.0 | 0.0 | 0.0
CIS [Member] | Off-Highway [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 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
CIS [Member] | Other [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 8.7 | 9.8 | 7.8
HDE [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 682.1 | 745.9 | 872.3
HDE [Member] | Products Transferred at a Point in Time [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 655.2 | 715.1 | 829.1
HDE [Member] | Products Transferred Over Time [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 26.9 | 30.8 | 43.2
HDE [Member] | Americas [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 388.2 | 484.5 | 543.0
HDE [Member] | Europe [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 133.2 | 141.2 | 177.4
HDE [Member] | Asia [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 160.7 | 120.2 | 151.9
HDE [Member] | Commercial HVAC&R [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 0.0 | 0.0 | 0.0
HDE [Member] | Data Center Cooling [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 0.0 | 0.0 | 0.0
HDE [Member] | Industrial Cooling [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 0.0 | 0.0 | 0.0
HDE [Member] | Commercial Vehicle [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 250.4 | 302.1 | 352.6
HDE [Member] | Off-Highway [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 260.7 | 240.8 | 298.1
HDE [Member] | Automotive and Light Vehicle [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 97.9 | 108.4 | 116.7
HDE [Member] | Other [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 73.1 | 94.6 | 104.9
Automotive [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 398.3 | 444.9 | 488.9
Automotive [Member] | Products Transferred at a Point in Time [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 398.3 | 444.9 | 488.9
Automotive [Member] | Products Transferred Over Time [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 0.0 | 0.0 | 0.0
Automotive [Member] | Americas [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 51.0 | 70.3 | 71.0
Automotive [Member] | Europe [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 282.0 | 321.0 | 369.4
Automotive [Member] | Asia [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 65.3 | 53.6 | 48.5
Automotive [Member] | Commercial HVAC&R [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 0.0 | 0.0 | 0.0
Automotive [Member] | Data Center Cooling [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 0.0 | 0.0 | 0.0
Automotive [Member] | Industrial Cooling [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 0.0 | 0.0 | 0.0
Automotive [Member] | Commercial Vehicle [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 14.4 | 21.6 | 35.0
Automotive [Member] | Off-Highway [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 3.4 | 13.1 | 16.0
Automotive [Member] | Automotive and Light Vehicle [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | 357.8 | 400.4 | 426.1
Automotive [Member] | Other [Member] |  |  |
Disaggregation of Revenue [Abstract] |  |  |
Net sales | $ 22.7 | $ 9.8 | $ 11.8
Maximum [Member] |  |  |
Revenue Recognition [Abstract] |  |  |
Period of time after billing when payment is received | 90 days |  |

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