Significant Accounting Policies (Narrative) (Details) - USD ($)	12 Months Ended
	Jun. 01, 2019	Jun. 02, 2018	Jun. 03, 2017	Jun. 02, 2019
Significant Accounting Policies [Line Items]
Checks outstanding in excess of related book cash balances	$ 6,200,000	$ 418,000
Available-for-sale securities unrealized lossed included in AOCI	1,000,000.0	(294,000)
Investment securities available-for-sale, current	250,181,000	282,586,000
Investment securities available-for-sale, non-current	3,400,000	3,100,000
Trade receivables	57,059,000	80,731,000
Allowance for doubtful accounts	$ 206,000	268,000
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	$ 0	17,100,000
Cumulative losses to be recovered prior to paying dividend	(19,800,000)
Delivery costs	53,600,000	53,200,000	$ 53,300,000
Advertising expense	$ 7,300,000	$ 6,300,000	$ 10,300,000
Two Affiliated Customers | Sales Revenue, Net
Significant Accounting Policies [Line Items]
Concentration risk, percentage	33.70%	33.20%	28.90%
Two Affiliated Customers | Accounts Receivable
Significant Accounting Policies [Line Items]
Concentration risk, percentage	29.70%	33.40%
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
Scenario, Forecast | Accounting Standards Update 2016-02
Significant Accounting Policies [Line Items]
Operating lease right of use asset				$ 2,000,000.0
Operating lease liabilities				$ 2,000,000