Stockholders' Deficit - Schedule of Changes in Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Thousands		12 Months Ended
		Mar. 31, 2024		Mar. 31, 2023		Mar. 31, 2022
Reclassification Adjustment Out Of Accumulated Other Comprehensive Income [Line Items]
Balance		$ (797,396)		$ (787,423)		$ (818,853)
Total other comprehensive income (loss)		37,577		(91,292)		66,838
Balance		(104,414)		(797,396)		(787,423)
Currency Translation Adjustment [Member]
Reclassification Adjustment Out Of Accumulated Other Comprehensive Income [Line Items]
Balance		(49,206)		(47,933)
AOCI before reclassifications		5,057		(1,273)
Total other comprehensive income (loss)		5,057		(1,273)
Balance		(44,149)		(49,206)		(47,933)
Unrealized Gains and Losses on Derivative Instruments [Member]
Reclassification Adjustment Out Of Accumulated Other Comprehensive Income [Line Items]
Balance		1,217		(270)
AOCI before reclassifications		796		2,265
Amounts reclassified from AOCI		(1,944)		(778)
Total other comprehensive income (loss)		(1,148)		1,487
Balance		69		1,217		(270)
Defined Benefit Pension Plans and Other Postretirement Benefits [Member]
Reclassification Adjustment Out Of Accumulated Other Comprehensive Income [Line Items]
Balance		(506,657)		(415,151)
AOCI before reclassifications		12,511		(113,232)
Amounts reclassified from AOCI	[1]	21,157		21,726
Total other comprehensive income (loss)		33,668		(91,506)
Balance		(472,989)		(506,657)		(415,151)
Accumulated Other Comprehensive Income (Loss) [Member]
Reclassification Adjustment Out Of Accumulated Other Comprehensive Income [Line Items]
Balance		(554,646)	[2]	(463,354)	[2]	(530,192)
AOCI before reclassifications	[2]	18,364		(112,240)
Amounts reclassified from AOCI	[2]	19,213		20,948
Total other comprehensive income (loss)	[2]	37,577		(91,292)
Balance	[2]	$ (517,069)		$ (554,646)		$ (463,354)

[1] Includes amortization of actuarial losses and recognized prior service (credits) costs, which are included in the net periodic benefit income

[2] Net of tax.