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Shareholders' Equity (Accumulated Other Comprehensive Income (Loss)) (Details) - USD ($) $ in Thousands | 12 Months Ended
--- | ---
Mar. 31, 2024 | Mar. 31, 2023 | Mar. 31, 2022
AOCI Attributable to Parent, Net of Tax [Roll Forward] |  |  |
Beginning of the period | $ 2,257,560 | $ 2,398,738 | $ 2,261,789
Other comprehensive income (loss) | (10,925) | 3,846 | 4,792
End of the period balance | 2,233,653 | 2,257,560 | 2,398,738
Currency Translation Adjustment |  |  |
AOCI Attributable to Parent, Net of Tax [Roll Forward] |  |  |
Beginning of the period | (100,869) |  |
Other comprehensive income (loss) | (3,078) |  |
End of the period balance | (103,947) | (100,869) |
Defined Benefit Plans |  |  |
AOCI Attributable to Parent, Net of Tax [Roll Forward] |  |  |
Beginning of the period | 4,525 |  |
Other comprehensive income (loss) | (12,920) |  |
End of the period balance | (8,395) | 4,525 |
Deferred Hedging Gains (Losses) |  |  |
AOCI Attributable to Parent, Net of Tax [Roll Forward] |  |  |
Beginning of the period | (3,933) |  |
Other comprehensive income (loss) | 5,073 |  |
End of the period balance | 1,140 | (3,933) |
Accumulated other comprehensive loss |  |  |
AOCI Attributable to Parent, Net of Tax [Roll Forward] |  |  |
Beginning of the period | (100,277) | (104,123) | (108,915)
End of the period balance | $ (111,202) | $ (100,277) | $ (104,123)

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