Significant Accounting Policies (Narrative) (Details) - USD ($)	3 Months Ended	12 Months Ended
	Jun. 02, 2018	Jun. 02, 2018	Jun. 03, 2017	May 28, 2016
Significant Accounting Policies [Line Items]
Checks outstanding in excess of related book cash balances		$ 400,000	$ 2,022,000
Available-for-sale securities unrealized lossed included in AOCI	$ (294,000)	(294,000)	473,000
Investment securities available-for-sale, current	282,586,000	282,586,000	138,462,000
Investment securities available-for-sale, non-current	3,100,000	3,100,000	2,500,000
Trade receivables	80,731,000	80,731,000	61,261,000
Allowance for doubtful accounts	268,000	$ 268,000	386,000
Percentage of bad debts recognized at sixty days past due		100.00%
Threshold period past due for bad debt		60 days
Growing period		154 days
Percentage of net income loss used to compute accrued dividends		33.33%
Dividends paid to shareholder of record number of days after quarter		60 days
Dividends paid to shareholder of record number of days after yearend		65 days
Number of days after record dividends payable		15 days
Dividends payable	17,093,000	$ 17,093,000	0
Delivery costs		53,200,000	53,300,000	$ 49,600,000
Advertising expense		6,300,000	$ 12,100,000	$ 10,300,000
Reclassification of stranded tax effects from change in tax rates		$ 0
Two Affiliated Customers | Sales Revenue, Net
Significant Accounting Policies [Line Items]
Concentration risk, percentage		33.20%	28.90%	28.90%
Two Affiliated Customers | Accounts Receivable
Significant Accounting Policies [Line Items]
Concentration risk, percentage		33.00%	28.00%
Minimum
Significant Accounting Policies [Line Items]
Flock cost amortization period		1 year
Intangible assets estimated useful life		5 years
Minimum | Buildings and improvements
Significant Accounting Policies [Line Items]
Property, plant and equipment useful life		15 years
Minimum | Machinery and equipment
Significant Accounting Policies [Line Items]
Property, plant and equipment useful life		3 years
Maximum
Significant Accounting Policies [Line Items]
Flock cost amortization period		2 years
Intangible assets estimated useful life		15 years
Maximum | Buildings and improvements
Significant Accounting Policies [Line Items]
Property, plant and equipment useful life		25 years
Maximum | Machinery and equipment
Significant Accounting Policies [Line Items]
Property, plant and equipment useful life		12 years
Restricted Stock
Significant Accounting Policies [Line Items]
Antidilutive securities excluded from computation of net income per common share (in shares)		131,292
Accumulated Other Comprehensive Income (Loss)
Significant Accounting Policies [Line Items]
Reclassification of stranded tax effects from change in tax rates	(33,000)	$ (33,000)
Retained Earnings
Significant Accounting Policies [Line Items]
Reclassification of stranded tax effects from change in tax rates	$ 33,000	$ 33,000