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Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Thousands | Mar. 31, 2024 | Mar. 31, 2023 | Mar. 31, 2022 | Mar. 31, 2021
--- | --- | --- | --- | ---
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Accumulated other comprehensive loss, net of tax | $ 1,655,084 | $ 1,447,084 | $ 1,577,611 | $ 1,358,298
Accumulated other comprehensive loss, tax | (217) | (214) |  |
Accumulated other comprehensive loss, net of tax |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Accumulated other comprehensive loss, net of tax | (34,495) | (31,564) | $ (19,032) | $ (19,801)
Cumulative translation adjustment |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Accumulated other comprehensive loss, net of tax | (35,220) | (32,280) |  |
Unrecognized net gain on pension plans, net of tax of $(217) and $(214), respectively |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |
Accumulated other comprehensive loss, net of tax | $ 725 | $ 716 |  |

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