Income Taxes (Deferred Tax Assets and Liabilities) (Details) - USD ($) $ in Thousands	Jun. 03, 2023	May 28, 2022
Deferred tax liabilities:
Property, plant and equipment	$ 109,590	$ 100,250
Inventories	44,986	31,987
Investment in affiliates	1,133	65
Other	5,702	5,713
Total deferred tax liabilities	161,411	138,015
Deferred tax assets:
Accrued expenses	3,838	4,041
State operating loss carryforwards	78	470
Other comprehensive income	1,317	866
Other	3,966	4,442
Total deferred tax assets	9,199	9,819
Net deferred tax liabilities	$ 152,212	$ 128,196