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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, 2018 | Mar. 31, 2017 | Mar. 31, 2016
Segment Reporting Information [Line Items] |  |  |
Total capital expenditures | $ 71.0 | $ 64.4 | $ 62.8
Total depreciation and amortization expense | 76.7 | 58.3 | 50.2
Operating Segments [Member] | Americas [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Total capital expenditures | 22.2 | 26.3 | 26.7
Total depreciation and amortization expense | 22.2 | 22.7 | 22.1
Operating Segments [Member] | Europe [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Total capital expenditures | 26.8 | 24.7 | 24.8
Total depreciation and amortization expense | 18.4 | 16.5 | 18.0
Operating Segments [Member] | Asia [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Total capital expenditures | 12.4 | 8.5 | 6.2
Total depreciation and amortization expense | 7.6 | 7.0 | 6.5
Operating Segments [Member] | CIS [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Total capital expenditures | 9.0 | 3.4 | 0.0
Total depreciation and amortization expense | 24.3 | 7.9 | 0.0
Operating Segments [Member] | BHVAC [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Total capital expenditures | 0.6 | 1.5 | 5.1
Total depreciation and amortization expense | $ 4.2 | $ 4.2 | $ 3.6

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