Income Taxes (Deferred Tax Assets and Liabilities) (Details) - USD ($) $ in Thousands	Jun. 02, 2018	Jun. 03, 2017
Deferred tax liabilities:
Property, plant and equipment	$ 47,899	$ 68,830
Inventories	25,494	38,270
Investment in affiliates	7,996	8,563
Other comprehensive income	0	290
Other	1,616	4,656
Total deferred tax liabilities	83,005	120,609
Deferred tax assets:
Accrued expenses	3,013	4,308
State operating loss carryforwards	566	0
Other comprehensive loss	95	0
Other	3,276	6,019
Total deferred tax assets	6,950	10,327
Net deferred tax liabilities	$ 76,055	$ 110,282