CONTINGENCIES (Details) $ in Thousands		12 Months Ended
	Aug. 31, 2023 USD ($)	May 26, 2024 USD ($)	May 28, 2023 USD ($)
CONTINGENCIES
Threshold Amount For Environmental Matters		$ 1,000
Environmental liabilities (see Note 16)		41,400	$ 43,800
Insurance Settlements Receivable		14,700
Loss contingency		3,100
Punitive damages		4,000
Environmental Matters [Member]
CONTINGENCIES
Litigation Settlement, Amount Awarded to Other Party	$ 1,250
Threatened Litigation [Member]
CONTINGENCIES
Loss Contingency Accrual		76,300	51,300
Other Accrued Liabilities [Member] | Threatened Litigation [Member]
CONTINGENCIES
Loss Contingency Accrual		30,400	22,400
Other Noncurrent Liabilities [Member] | Threatened Litigation [Member]
CONTINGENCIES
Loss Contingency Accrual		45,900	28,900
Trade Accounts Receivable [Member]
CONTINGENCIES
Insurance Settlements Receivable		7,100
Other Noncurrent Assets [Member]
CONTINGENCIES
Insurance Settlements Receivable		7,600
Beatrice [Member]
CONTINGENCIES
Accrual for Environmental Loss Contingencies		39,300	40,100
Beatrice [Member] | Other Accrued Liabilities [Member]
CONTINGENCIES
Accrual for Environmental Loss Contingencies		$ 3,300	$ 1,500
Environmental Loss Contingency, Statement of Financial Position [Extensible Enumeration]		us-gaap_OtherAccruedLiabilitiesCurrent	us-gaap_OtherAccruedLiabilitiesCurrent
Beatrice [Member] | Other Noncurrent Liabilities [Member]
CONTINGENCIES
Accrual for Environmental Loss Contingencies		$ 36,000	$ 38,600
Environmental Loss Contingency, Statement of Financial Position [Extensible Enumeration]		Other noncurrent liabilities	Other noncurrent liabilities
CALIFORNIA | Beatrice [Member]
CONTINGENCIES
Litigation Settlement, Amount Awarded to Other Party		$ 101,700
Loss Contingency Settlement Agreement Terms Number Of Installments		7
Loss Contingency Accrual, Payments		$ 73,000
Loss Contingency Accrual		28,900	$ 40,700
CALIFORNIA | Beatrice [Member] | Other Accrued Liabilities [Member]
CONTINGENCIES
Loss Contingency Accrual		11,800	11,800
CALIFORNIA | Beatrice [Member] | Other Noncurrent Liabilities [Member]
CONTINGENCIES
Loss Contingency Accrual		17,100	$ 28,900
CALIFORNIA | Beatrice [Member] | Maximum [Member]
CONTINGENCIES
Litigation Settlement Amount Of Guarantee		$ 15,000