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Schedule of Self Insurance (Details)
$ / occurence in Thousands, $ in Millions
12 Months Ended
Jun. 01, 2019
USD ($)
$ / occurence
Jun. 02, 2018
USD ($)
Accounting Policies [Abstract]    
General liability 1,000  
Auto liability 1,000  
Workers' compensation 750  
Health benefit 500  
Liability for Unpaid Claims and Claims Adjustment Expense, Net | $ $ 11.7 $ 11.2