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Stockholders' Equity - Components of Accumulated Other Comprehensive Income (Detail) - USD ($)
$ in Thousands
 12 Months Ended
Mar. 31, 2025
Mar. 31, 2024
Mar. 31, 2023
Increase (Decrease) in Accumulated Other Comprehensive Income [Roll Forward]      
Beginning Balance $ 1,757,072 $ 1,603,881 $ 1,493,275
Ending Balance 1,919,488 1,757,072 1,603,881
Pension funded status adjustment      
Increase (Decrease) in Accumulated Other Comprehensive Income [Roll Forward]      
Beginning Balance (9,798) (4,423) (12,637)
Before Reclassifications 132 (5,672) 7,872
Amount Reclassified from AOCI (708) (708) 342
Ending Balance (10,374) (9,798) (4,423)
Foreign currency translation adjustment, gain 132 (5,672) 7,872
Net unrealized gain (loss) on derivative instruments      
Increase (Decrease) in Accumulated Other Comprehensive Income [Roll Forward]      
Beginning Balance 755 1,411 2,963
Before Reclassifications (2,339) 6,283 (2,453)
Amount Reclassified from AOCI 1,315 1,315 901
Ending Balance (269) 755 1,411
Foreign currency translation adjustment, gain (2,339) 6,283 (2,453)
Foreign currency translation adjustment      
Increase (Decrease) in Accumulated Other Comprehensive Income [Roll Forward]      
Beginning Balance (195,808) (180,462) (133,821)
Before Reclassifications (41,028) (15,346) (46,641)
Amount Reclassified from AOCI 0 0 0
Ending Balance (236,836) (195,808) (180,462)
Foreign currency translation adjustment, gain (41,028) (15,346) (46,641)
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 10,600 2,615 19,491
Foreign currency translation adjustment, gain 10,600 2,615 19,491
Foreign currency translation adjustment, tax 3,235 797 4,557
Accumulated other comprehensive loss      
Increase (Decrease) in Accumulated Other Comprehensive Income [Roll Forward]      
Beginning Balance (204,851) (183,474) (143,495)
Before Reclassifications (43,235) (14,735) (41,222)
Amount Reclassified from AOCI 607 (6,642) 1,243
Ending Balance (247,479) (204,851) (183,474)
Foreign currency translation adjustment, gain $ (43,235) $ (14,735) $ (41,222)