Goodwill and Other Intangible Assets (Schedule of Other Intangibles) (Details) - USD ($) $ in Thousands	Jun. 02, 2018	Jun. 03, 2017	May 28, 2016
Schedule of Finite-Lived And Indefinite-Lived Intangible Assets [Line Items]
Gross carrying amount	$ 50,339	$ 50,339
Accumulated amortization	(24,032)	(21,190)
Franchise rights
Schedule of Finite-Lived And Indefinite-Lived Intangible Assets [Line Items]
Gross carrying amount, finite-lived	29,284	29,284
Accumulated amortization	(7,701)	(6,070)
Customer relationships
Schedule of Finite-Lived And Indefinite-Lived Intangible Assets [Line Items]
Gross carrying amount, finite-lived	19,544	19,544
Accumulated amortization	(15,962)	(14,884)
Non-compete agreements
Schedule of Finite-Lived And Indefinite-Lived Intangible Assets [Line Items]
Gross carrying amount, finite-lived	200	200
Accumulated amortization	(114)	(96)
Right of use intangible
Schedule of Finite-Lived And Indefinite-Lived Intangible Assets [Line Items]
Gross carrying amount, finite-lived	191	191
Accumulated amortization	(191)	(125)
Trademark
Schedule of Finite-Lived And Indefinite-Lived Intangible Assets [Line Items]
Gross carrying amount, finite-lived	400	400
Accumulated amortization	(64)	(15)
Water Rights
Schedule of Finite-Lived And Indefinite-Lived Intangible Assets [Line Items]
Gross carrying amount, indefinite-lived	$ 720	$ 720	$ 720