Income Taxes (Deferred Tax Assets and Liabilities) (Details) - USD ($) $ in Thousands	Jun. 01, 2019	Jun. 02, 2018
Deferred tax liabilities:
Property, plant and equipment	$ 49,275	$ 47,899
Inventories	27,750	25,494
Investment in affiliates	7,609	7,996
Other comprehensive income	324	0
Other	2,596	1,616
Total deferred tax liabilities	87,554	83,005
Deferred tax assets:
Accrued expenses	2,170	3,013
State operating loss carryforwards	133	566
Other comprehensive loss	0	95
Other	2,654	3,276
Total deferred tax assets	4,957	6,950
Net deferred tax liabilities	$ 82,597	$ 76,055