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Employee Benefit Plans - Additional Information (Details) - Employee Profit Sharing Plan - USD ($)
$ in Millions
12 Months Ended
Jun. 01, 2019
Jun. 02, 2018
May 27, 2017
Defined Contribution Plan Disclosure [Line Items]      
Percent of employees matched 50.00%    
Percent of pay matched 4.00%    
Matching contributions expense $ 0.5 $ 0.4 $ 0.0