Income Taxes (Deferred Tax Assets and Liabilities) (Details) - USD ($) $ in Thousands	May 30, 2020	Jun. 01, 2019
Deferred tax liabilities:
Property, plant and equipment	$ 60,645	$ 49,275
Inventories	28,075	27,750
Investment in affiliates	8,099	7,609
Other comprehensive income	214	324
Other	5,002	2,596
Total deferred tax liabilities	102,035	87,554
Deferred tax assets:
Accrued expenses	3,376	2,170
State operating loss carryforwards	792	133
Other	5,099	2,654
Total deferred tax assets	9,267	4,957
Net deferred tax liabilities	$ 92,768	$ 82,597