Credit Facilities and Long-Term Debt (Narrative) (Details)		12 Months Ended
	Jul. 10, 2018 USD ($) covenant	May 30, 2020 USD ($)	Jun. 01, 2019 USD ($)	Jun. 02, 2018 USD ($)
Debt Instrument [Line Items]
Interest costs incurred		$ 498,000	$ 644,000	$ 265,000
Interest costs capitalized		0		$ 217,000
Standby letters of credit		4,300,000
Revolving Credit Facility
Debt Instrument [Line Items]
Standby letters of credit		4,300,000
Line of Credit | Revolving Credit Facility
Debt Instrument [Line Items]
Amount borrowed		$ 0
Maximum borrowing capacity	$ 100,000,000.0
Debt instrument, term	5 years
Accordion feature, increase limit	$ 125,000,000.0
Commitment fee	0.20%
Number of financial covenants | covenant	2
Restrictive covenants, minimum working capital ratio	2.00
Annual limit on capital expenditures	$ 150,000,000.0
Restrictive covenants, minimum voting ownership percentage	50.00%
Restrictive covenants, maximum dividends as a percentage of prior year net income		33.33%
Maximum repurchase of capital stock, amount	$ 75,000,000.0
Minimum capacity available	$ 20,000,000.0
Line of Credit | Revolving Credit Facility | Federal Funds Effective Swap Rate
Debt Instrument [Line Items]
Basis spread on variable rate	0.50%
Line of Credit | Revolving Credit Facility | Applicable Margin, Eurodollar Rate Loans | Minimum
Debt Instrument [Line Items]
Basis spread on variable rate	1.00%
Line of Credit | Revolving Credit Facility | Applicable Margin, Eurodollar Rate Loans | Maximum
Debt Instrument [Line Items]
Basis spread on variable rate	1.75%
Line of Credit | Revolving Credit Facility | Applicable Margin, Base Rate Loans | Minimum
Debt Instrument [Line Items]
Basis spread on variable rate	0.00%
Line of Credit | Revolving Credit Facility | Applicable Margin, Base Rate Loans | Maximum
Debt Instrument [Line Items]
Basis spread on variable rate	0.75%
Note payable at 6.20%
Debt Instrument [Line Items]
Amount borrowed		$ 0	$ 1,500,000