Goodwill and Other Intangible Assets (Schedule of Other Intangibles) (Details) - USD ($) $ in Thousands	May 30, 2020	Jun. 01, 2019	Jun. 02, 2018
Schedule of Finite-Lived And Indefinite-Lived Intangible Assets [Line Items]
Gross carrying amount	$ 52,589	$ 50,589
Accumulated amortization	(29,773)	(26,827)
Franchise rights
Schedule of Finite-Lived And Indefinite-Lived Intangible Assets [Line Items]
Gross carrying amount, finite-lived	29,284	29,284
Accumulated amortization	(10,957)	(9,329)
Customer relationships
Schedule of Finite-Lived And Indefinite-Lived Intangible Assets [Line Items]
Gross carrying amount, finite-lived	20,544	19,544
Accumulated amortization	(18,190)	(17,040)
Non-compete agreements
Schedule of Finite-Lived And Indefinite-Lived Intangible Assets [Line Items]
Gross carrying amount, finite-lived	1,450	450
Accumulated amortization	(271)	(153)
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	(164)	(114)
Water Rights
Schedule of Finite-Lived And Indefinite-Lived Intangible Assets [Line Items]
Gross carrying amount, indefinite-lived	$ 720	$ 720	$ 720