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Stockholders' Equity - Components of Accumulated Other Comprehensive Income (Detail) - USD ($) $ in Thousands	12 Months Ended
	Mar. 31, 2022	Mar. 31, 2021	Mar. 31, 2020
Increase (Decrease) in Accumulated Other Comprehensive Income [Roll Forward]
Beginning Balance	$ (115,883)	$ (215,006)	$ (142,682)
Before Reclassifications	(21,088)	91,923	(74,019)
Amount Reclassified from AOCI	(6,524)	7,200	1,695
Ending Balance	(143,495)	(115,883)	(215,006)
Foreign currency translation adjustment, gain	(21,088)	91,923	(74,019)
Pension funded status adjustment
Increase (Decrease) in Accumulated Other Comprehensive Income [Roll Forward]
Beginning Balance	(20,947)	(22,794)	(20,791)
Before Reclassifications	7,374	680	(2,819)
Amount Reclassified from AOCI	936	1,167	816
Ending Balance	(12,637)	(20,947)	(22,794)
Foreign currency translation adjustment, gain	7,374	680	(2,819)
Net unrealized gain (loss) on derivative instruments
Increase (Decrease) in Accumulated Other Comprehensive Income [Roll Forward]
Beginning Balance	360	(5,923)	(130)
Before Reclassifications	10,063	250	(6,672)
Amount Reclassified from AOCI	(7,460)	6,033	879
Ending Balance	2,963	360	(5,923)
Foreign currency translation adjustment, gain	10,063	250	(6,672)
Foreign currency translation adjustment
Increase (Decrease) in Accumulated Other Comprehensive Income [Roll Forward]
Beginning Balance	(95,296)	(186,289)	(121,761)
Before Reclassifications	(38,525)	90,993	(64,528)
Amount Reclassified from AOCI	0	0	0
Ending Balance	(133,821)	(95,296)	(186,289)
Foreign currency translation adjustment, gain	(38,525)	$ 90,993	$ (64,528)
Foreign currency translation adjustment | Cross currency fixed interest rate swaps | Net investment hedges | Designated as Hedging Instrument
Increase (Decrease) in Accumulated Other Comprehensive Income [Roll Forward]
Before Reclassifications	228
Foreign currency translation adjustment, gain	228
Foreign currency translation adjustment, tax	$ 70

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- Definition

Accumulated change in equity from transactions and other events and circumstances from non-owner sources, net of tax effect, at period end. Excludes Net Income (Loss), and accumulated changes in equity from transactions resulting from investments by owners and distributions to owners. Includes foreign currency translation items, certain pension adjustments, unrealized gains and losses on certain investments in debt and equity securities, other than temporary impairment (OTTI) losses related to factors other than credit losses on available-for-sale and held-to-maturity debt securities that an entity does not intend to sell and it is not more likely than not that the entity will be required to sell before recovery of the amortized cost basis, as well as changes in the fair value of derivatives related to the effective portion of a designated cash flow hedge.

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Amount after tax, before reclassification adjustments of other comprehensive income (loss).

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Amount of tax expense (benefit) allocated to other comprehensive income (loss) before reclassification adjustment from accumulated other comprehensive income (loss).

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