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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, 2019 | Mar. 31, 2018 | Mar. 31, 2017
Segment Reporting Information [Line Items] |  |  |
Total capital expenditures | $ 73.9 | $ 71.0 | $ 64.4
Total depreciation and amortization expense | 76.9 | 76.7 | 58.3
Operating Segments [Member] | VTS [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Total capital expenditures | 56.2 | 61.4 | 59.5
Total depreciation and amortization expense | 49.5 | 48.2 | 46.2
Operating Segments [Member] | CIS [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Total capital expenditures | 16.4 | 9.0 | 3.4
Total depreciation and amortization expense | 23.9 | 24.3 | 7.9
Operating Segments [Member] | BHVAC [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Total capital expenditures | 1.3 | 0.6 | 1.5
Total depreciation and amortization expense | $ 3.5 | $ 4.2 | $ 4.2

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