Leases - Schedule of Lease-related Assets and Liabilities (Details) - USD ($) $ in Thousands	Dec. 31, 2023	Mar. 31, 2023
Operating leases:
Other assets	$ 65,424	$ 53,551
Accrued liabilities	9,511	7,966
Other non current liabilities	58,763	46,524
Total operating liabilities	68,274	54,490
Finance lease:
Net property, plant, and equipment	11,846	12,597
Current portion of long-term debt and finance lease obligation	652	604
Term loan and finance lease obligations	12,441	12,937
Total finance liabilities	$ 13,093	$ 13,541
Operating Lease, Right-of-Use Asset, Statement of Financial Position [Extensible Enumeration]	Other assets	Other assets
Operating Lease, Liability, Current, Statement of Financial Position [Extensible Enumeration]	Accrued Liabilities, Current	Accrued Liabilities, Current
Operating Lease, Liability, Noncurrent, Statement of Financial Position [Extensible Enumeration]	Other Liabilities, Noncurrent	Other Liabilities, Noncurrent
Finance Lease, Right-of-Use Asset, Statement of Financial Position [Extensible Enumeration]	Property, Plant, and Equipment and Finance Lease Right-of-Use Asset, after Accumulated Depreciation and Amortization	Property, Plant, and Equipment and Finance Lease Right-of-Use Asset, after Accumulated Depreciation and Amortization
Finance Lease, Liability, Current, Statement of Financial Position [Extensible Enumeration]	Current portion of long-term debt and finance lease obligations	Current portion of long-term debt and finance lease obligations
Finance Lease, Liability, Noncurrent, Statement of Financial Position [Extensible Enumeration]	Term loan, AR securitization facility and finance lease obligations	Term loan, AR securitization facility and finance lease obligations