Stockholders' Equity - Components of Accumulated Other Comprehensive Income (Detail) - USD ($) $ in Thousands	12 Months Ended
Mar. 31, 2024	Mar. 31, 2023	Mar. 31, 2022	Sep. 29, 2022
Increase (Decrease) in Accumulated Other Comprehensive Income [Roll Forward]
Beginning Balance	$ (183,474)	$ (143,495)	$ (115,883)
Before Reclassifications	(14,735)	(41,222)	(21,088)
Amount Reclassified from AOCI	(6,642)	1,243	(6,524)
Ending Balance	(204,851)	(183,474)	(143,495)
Foreign currency translation adjustment, gain	(14,735)	(41,222)	(21,088)
Cross currency fixed interest rate swaps \| Designated as Hedging Instrument
Increase (Decrease) in Accumulated Other Comprehensive Income [Roll Forward]
Notional amount	300			$ 300,000
Cross Currency Fixed Interest Rate Contract \| Designated as Hedging Instrument
Increase (Decrease) in Accumulated Other Comprehensive Income [Roll Forward]
Notional amount	150			$ 150,000
Pension funded status adjustment
Increase (Decrease) in Accumulated Other Comprehensive Income [Roll Forward]
Beginning Balance	(4,423)	(12,637)	(20,947)
Before Reclassifications	(5,672)	7,872	7,374
Amount Reclassified from AOCI	297	342	936
Ending Balance	(9,798)	(4,423)	(12,637)
Foreign currency translation adjustment, gain	(5,672)	7,872	7,374
Net unrealized gain (loss) on derivative instruments
Increase (Decrease) in Accumulated Other Comprehensive Income [Roll Forward]
Beginning Balance	1,411	2,963	360
Before Reclassifications	6,283	(2,453)	10,063
Amount Reclassified from AOCI	(6,939)	901	(7,460)
Ending Balance	755	1,411	2,963
Foreign currency translation adjustment, gain	6,283	(2,453)	10,063
Foreign currency translation adjustment
Increase (Decrease) in Accumulated Other Comprehensive Income [Roll Forward]
Beginning Balance	(180,462)	(133,821)	(95,296)
Before Reclassifications	(15,346)	(46,641)	(38,525)
Amount Reclassified from AOCI	0	0	0
Ending Balance	(195,808)	(180,462)	(133,821)
Foreign currency translation adjustment, gain	(15,346)	(46,641)	(38,525)
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	2,615	19,491	228
Foreign currency translation adjustment, gain	2,615	19,491	228
Foreign currency translation adjustment, tax	$ 797	$ 4,557	$ 70

Amount, after tax, of accumulated increase (decrease) in equity from transaction and other event and circumstance from nonowner source.

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