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Segment and Geographic Information, Capital Expenditures and Depreciation and Amortization Expense by Segment (Details) - USD ($) $ in Millions | 12 Months Ended
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Mar. 31, 2021 | Mar. 31, 2020 | Mar. 31, 2019
Segment and Geographic Information [Abstract] |  |  |  |
Capital expenditures |  | $ 32.7 | $ 71.3 | $ 73.9
Depreciation and amortization |  | 68.6 | 77.1 | 76.9
Operating Segments [Member] | BHVAC [Member] |  |  |  |
Segment and Geographic Information [Abstract] |  |  |  |
Capital expenditures |  | 1.5 | 3.1 | 1.3
Depreciation and amortization |  | 3.1 | 3.4 | 3.5
Operating Segments [Member] | CIS [Member] |  |  |  |
Segment and Geographic Information [Abstract] |  |  |  |
Capital expenditures |  | 6.1 | 15.0 | 16.4
Depreciation and amortization |  | 25.0 | 24.0 | 23.9
Operating Segments [Member] | HDE [Member] |  |  |  |
Segment and Geographic Information [Abstract] |  |  |  |
Capital expenditures |  | 13.5 | 31.5 | 29.4
Depreciation and amortization |  | 25.5 | 25.4 | 26.3
Operating Segments [Member] | Automotive [Member] |  |  |  |
Segment and Geographic Information [Abstract] |  |  |  |
Capital expenditures |  | 11.1 | 19.1 | 24.9
Depreciation and amortization | [1] | 13.2 | 22.3 | 21.2
Operating Segments [Member] | Corporate [Member] |  |  |  |
Segment and Geographic Information [Abstract] |  |  |  |
Capital expenditures |  | 0.5 | 2.6 | 1.9
Depreciation and amortization |  | $ 1.8 | $ 2.0 | $ 2.0
[1] | Upon classifying the liquid- and air-cooled automotive businesses as held for sale, the Company ceased depreciating the long-lived assets within the disposal groups. See Note 2 for additional information.

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