Goodwill and Other Intangible Assets (Schedule of Other Intangibles) (Details) - USD ($) $ in Thousands	Jun. 01, 2019	Jun. 02, 2018	Jun. 03, 2017
Schedule of Finite-Lived And Indefinite-Lived Intangible Assets [Line Items]
Gross carrying amount	$ 50,589	$ 50,339
Accumulated amortization	(26,827)	(24,032)
Franchise rights
Schedule of Finite-Lived And Indefinite-Lived Intangible Assets [Line Items]
Gross carrying amount, finite-lived	29,284	29,284
Accumulated amortization	(9,329)	(7,701)
Customer relationships
Schedule of Finite-Lived And Indefinite-Lived Intangible Assets [Line Items]
Gross carrying amount, finite-lived	19,544	19,544
Accumulated amortization	(17,040)	(15,962)
Non-compete agreements
Schedule of Finite-Lived And Indefinite-Lived Intangible Assets [Line Items]
Gross carrying amount, finite-lived	450	200
Accumulated amortization	(153)	(114)
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)	(191)
Trademark
Schedule of Finite-Lived And Indefinite-Lived Intangible Assets [Line Items]
Gross carrying amount, finite-lived	400	400
Accumulated amortization	(114)	(64)
Water Rights
Schedule of Finite-Lived And Indefinite-Lived Intangible Assets [Line Items]
Gross carrying amount, indefinite-lived	$ 720	$ 720	$ 720