Commitments and Contingencies - Additional Information (Detail) - USD ($) $ in Thousands	3 Months Ended		12 Months Ended
	Feb. 29, 2024	May 31, 2023	May 31, 2024	May 31, 2023	May 31, 2022
Commitments and Contingencies Disclosure [Line Items]
Estimated liability costs of remediation		$ 916	$ 916	$ 916
Environmental Loss Contingency, Statement of Financial Position [Extensible Enumeration]		Liabilities	Liabilities	Liabilities
Estimated liability, measurement period, years			15 years
Estimated liability costs of remediation, current		$ 100	$ 100	$ 100
Environmental Loss Contingency, Current, Statement of Financial Position [Extensible Enumeration]		Other Liabilities, Current	Other Liabilities, Current	Other Liabilities, Current
Royalty Expense			$ 3,250	$ 3,392	$ 1,999
Future minimum royalty payment for period, 2025			294
Future minimum royalty payment for period, 2026			329
Future minimum royalty payment for period, 2027			354
Future minimum royalty payment for period, 2028			562
Future minimum royalty payment for period, 2029			60
Estimated liability costs of remediation, non current		$ 816	$ 816	$ 816
Environmental Loss Contingency, Noncurrent, Statement of Financial Position [Extensible Enumeration]		Other Liabilities, Noncurrent	Other Liabilities, Noncurrent	Other Liabilities, Noncurrent
Accrual reversed		$ 600
Environmental loss contingencies, charges to expense for potential fines or penalties			$ 600
Debt issuance costs incurred		$ 6,683		$ 6,683
Animal Safety
Commitments and Contingencies Disclosure [Line Items]
Business interruption insurance proceeds relating to fire damage	$ 1,265
Gain on Business Interruption Insurance Recovery, Statement of Income or Comprehensive Income [Extensible Enumeration]			Cost of Goods and Services Sold
Minimum
Commitments and Contingencies Disclosure [Line Items]
Environmental remediation expense			$ 60
Environmental Remediation Expense, before Recovery, Statement of Income or Comprehensive Income [Extensible Enumeration]			Operating Expenses
Maximum
Commitments and Contingencies Disclosure [Line Items]
Environmental remediation expense			$ 130
Environmental Remediation Expense, before Recovery, Statement of Income or Comprehensive Income [Extensible Enumeration]			Operating Expenses