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Related Party Transaction (Notes)	12 Months Ended
Related Party Transaction (Notes)	Jun. 01, 2019
Related Party Transactions [Abstract]
Related Party Transaction	Related Party Transaction At a special meeting on July 20, 2018, the Company’s stockholders approved amendments to the Company’s certificate of incorporation in order to facilitate estate planning for the Company's founder and Chairman Emeritus, Mr. Fred R. Adams, Jr. The Company incurred legal and other fees in conjunction with these amendments. In connection with the negotiations relating to these amendments, Mr. Adams, through a conservatorship of which Mrs. Jean Reed Adams (the spouse of Mr. Adams) and Mr. Adolphus B. Baker (our Chief Executive Officer and Chairman of the Board) are co-conservators, reimbursed the Company $750,000 of these fees.