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Shareholders' Equity (Accumulated Other Comprehensive Income (Loss)) (Details) - USD ($) $ in Thousands	12 Months Ended
	Mar. 31, 2021	Mar. 31, 2020	Mar. 31, 2019
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning of the period	$ 1,489,268	$ 1,176,339	$ 1,050,557
Other comprehensive income (loss)	11,745	(14,962)	(12,243)
End of the period balance	2,261,789	1,489,268	1,176,339
Cumulative Translation Adjustment
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning of the period	(100,418)
Other comprehensive income (loss)	10,957
End of the period balance	(89,461)	(100,418)
Defined Benefit Plan
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning of the period	(20,016)
Other comprehensive income (loss)	(3,184)
End of the period balance	(23,200)	(20,016)
Deferred Hedging Gains (Losses)
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning of the period	(226)
Other comprehensive income (loss)	3,972
End of the period balance	3,746	(226)
Accumulated other comprehensive loss
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning of the period	(120,660)	(105,698)	(93,455)
End of the period balance	$ (108,915)	$ (120,660)	$ (105,698)

Total of all stockholders' equity (deficit) items, net of receivables from officers, directors, owners, and affiliates of the entity which are attributable to the parent. The amount of the economic entity's stockholders' equity attributable to the parent excludes the amount of stockholders' equity which is allocable to that ownership interest in subsidiary equity which is not attributable to the parent (noncontrolling interest, minority interest). This excludes temporary equity and is sometimes called permanent equity.

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