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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, 2022 | Mar. 31, 2021 | Mar. 31, 2020
Segment and Geographic Information [Abstract] |  |  |  |
Capital expenditures |  | $ 40.3 | $ 32.7 | $ 71.3
Depreciation and amortization |  | 54.8 | 68.6 | 77.1
Operating Segments [Member] | BHVAC [Member] |  |  |  |
Segment and Geographic Information [Abstract] |  |  |  |
Capital expenditures |  | 6.0 | 1.8 | 4.5
Depreciation and amortization |  | 5.9 | 5.5 | 6.2
Operating Segments [Member] | CIS [Member] |  |  |  |
Segment and Geographic Information [Abstract] |  |  |  |
Capital expenditures |  | 4.9 | 5.8 | 13.6
Depreciation and amortization |  | 20.5 | 22.6 | 21.2
Operating Segments [Member] | HDE [Member] |  |  |  |
Segment and Geographic Information [Abstract] |  |  |  |
Capital expenditures |  | 15.4 | 13.5 | 31.5
Depreciation and amortization |  | 23.4 | 25.5 | 25.4
Operating Segments [Member] | Automotive [Member] |  |  |  |
Segment and Geographic Information [Abstract] |  |  |  |
Capital expenditures |  | 12.8 | 11.1 | 19.1
Depreciation and amortization | [1] | 3.4 | 13.2 | 22.3
Corporate [Member] |  |  |  |
Segment and Geographic Information [Abstract] |  |  |  |
Capital expenditures |  | 1.2 | 0.5 | 2.6
Depreciation and amortization |  | $ 1.6 | $ 1.8 | $ 2.0
[1] | During fiscal 2021, 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. In fiscal 2022, the Company resumed depreciating the long-lived assets within the liquid-cooled automotive business when it no longer met the requirements to be classified as held for sale. See Note 2 for additional information.

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