Segments - Schedule of Selected Financial Information for Each Reportable Segment and Reconciliation of EBITDAP to Operating Income (Details) - USD ($) $ in Thousands	3 Months Ended								9 Months Ended	12 Months Ended
	Mar. 31, 2024	Dec. 31, 2023	Sep. 30, 2023	Jun. 30, 2023	Mar. 31, 2023	Dec. 31, 2022	Sep. 30, 2022	Jun. 30, 2022	Dec. 31, 2023	Mar. 31, 2024	Mar. 31, 2023	Mar. 31, 2022
Segment Reporting Information [Line Items]
Net sales to external customers	$ 358,587	$ 284,955	$ 284,678	$ 263,823	$ 325,458	$ 261,662	$ 248,288	$ 295,154		$ 1,192,043	$ 1,130,562	$ 1,262,704
Intersegment sales (eliminated in consolidation)										0	0	0
Segment profit and reconciliation to consolidated income before income taxes:
Adjusted EBITDAP										195,074	204,352	185,336
Reconciliation of segment profit to loss before income taxes
Depreciation and amortization										(29,625)	(32,259)	(45,509)
Interest expense and other, net										(123,021)	(115,211)	(113,080)
Corporate expenses										(52,725)	(54,333)	(50,834)
Share-based compensation expense										(9,445)	(8,913)	(9,782)
Gain (loss) on sale of assets and businesses										(12,208)	101,523	(9,294)
Amortization of acquired contract liabilities										2,721	2,500	5,871
Non-service defined benefit income										2,372	19,664	5,373
Consideration payable to customer related to divestiture											(17,185)
Legal judgment loss									$ (12,000)	(7,338)
Impairment of long-lived assets												(2,308)
Debt modification and extinguishment loss										(1,694)	(33,044)	(11,624)
Warrant remeasurement gain, net										8,545	8,683
(Loss) income from continuing operations before income taxes										(27,344)	75,777	(45,851)
Total capital expenditures										21,827	20,676	19,660
Total assets	1,686,270				1,714,844					1,686,270	1,714,844
Systems & Support [Member]
Reconciliation of segment profit to loss before income taxes
Amortization of acquired contract liabilities										2,721	2,500	5,859
Interiors [Member]
Reconciliation of segment profit to loss before income taxes
Amortization of acquired contract liabilities												12
Corporate & Eliminations [Member]
Segment Reporting Information [Line Items]
Net sales to external customers										0	0	0
Intersegment sales (eliminated in consolidation)										(822)	(436)	(473)
Segment profit and reconciliation to consolidated income before income taxes:
Adjusted EBITDAP										0	0	0
Reconciliation of segment profit to loss before income taxes
Depreciation and amortization										(1,847)	(2,116)	(3,245)
Total capital expenditures										2,089	1,114	711
Total assets	361,348				191,635					361,348	191,635
Operating Segments [Member] | Discontinued Operations [Member]
Reconciliation of segment profit to loss before income taxes
Total capital expenditures										1,820	2,894	1,611
Total assets					170,762						170,762
Operating Segments [Member] | Systems & Support [Member]
Segment Reporting Information [Line Items]
Net sales to external customers										1,027,630	918,960	833,175
Intersegment sales (eliminated in consolidation)										795	391	455
Segment profit and reconciliation to consolidated income before income taxes:
Adjusted EBITDAP										200,074	172,415	155,132
Reconciliation of segment profit to loss before income taxes
Depreciation and amortization										(25,273)	(26,460)	(28,338)
Total capital expenditures										15,990	15,154	14,105
Total assets	1,224,895				1,217,449					1,224,895	1,217,449
Operating Segments [Member] | Interiors [Member]
Segment Reporting Information [Line Items]
Net sales to external customers										164,413	211,602	429,529
Intersegment sales (eliminated in consolidation)										27	45	18
Segment profit and reconciliation to consolidated income before income taxes:
Adjusted EBITDAP										(5,000)	31,937	30,204
Reconciliation of segment profit to loss before income taxes
Depreciation and amortization										(2,505)	(3,683)	(13,926)
Total capital expenditures										1,928	1,514	$ 3,233
Total assets	$ 100,027				$ 134,998					$ 100,027	$ 134,998