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Significant Accounting Policies and Disclosures - Schedule of Share-Based Compensation, Shares Outstanding Under Stock Option Plans, by Exercise Price Range (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
 12 Months Ended
May 29, 2021
May 30, 2020
Jun. 01, 2019
Jun. 02, 2018
Stock Options        
Options, Outstanding, Number 1,455 1,427 1,364 1,195
Options, Outstanding, Weighted Average Exercise Price $ 8.08 $ 8.83 $ 9.08 $ 8.89
Options, Outstanding, Weighted Average Remaining Contractual Term 5 years 6 months      
Options, Outstanding, Intrinsic Value [1] $ 2,114      
Options, Vested, Number of Shares 950      
Options, Vested and Expected to Vest, Outstanding, Weighted Average Exercise Price $ 9.11      
Options, Vested and Expected to Vest, Outstanding, Weighted Average Remaining Contractual Term 4 years 2 months 12 days      
Options, Vested and Expected to Vest, Outstanding, Aggregate Intrinsic Value [1] $ 833      
$4.26 to $6.47        
Options, Outstanding, Number 566      
Options, Outstanding, Weighted Average Exercise Price $ 5.26      
Options, Outstanding, Weighted Average Remaining Contractual Term 7 years 7 months 6 days      
Options, Outstanding, Intrinsic Value $ 1,866      
Options, Vested, Number of Shares 220      
Options, Vested and Expected to Vest, Outstanding, Weighted Average Exercise Price $ 5.65      
Options, Vested and Expected to Vest, Outstanding, Weighted Average Remaining Contractual Term 6 years 4 months 24 days      
Options, Vested and Expected to Vest, Outstanding, Aggregate Intrinsic Value $ 638      
$6.90 to $10.01        
Options, Outstanding, Number 548      
Options, Outstanding, Weighted Average Exercise Price $ 8.67      
Options, Outstanding, Weighted Average Remaining Contractual Term 5 years 8 months 12 days      
Options, Outstanding, Intrinsic Value $ 248      
Options, Vested, Number of Shares 390      
Options, Vested and Expected to Vest, Outstanding, Weighted Average Exercise Price $ 8.69      
Options, Vested and Expected to Vest, Outstanding, Weighted Average Remaining Contractual Term 5 years 2 months 12 days      
Options, Vested and Expected to Vest, Outstanding, Aggregate Intrinsic Value $ 195      
$11.14 to $13.76        
Options, Outstanding, Number 341      
Options, Outstanding, Weighted Average Exercise Price $ 11.82      
Options, Outstanding, Weighted Average Remaining Contractual Term 1 year 7 months 6 days      
Options, Vested, Number of Shares 340      
Options, Vested and Expected to Vest, Outstanding, Weighted Average Exercise Price $ 11.82      
Options, Vested and Expected to Vest, Outstanding, Weighted Average Remaining Contractual Term 1 year 7 months 6 days      
[1]

Includes only those options that were in-the-money as of May 29, 2021. Stock options for which the exercise price exceeded the market price have been omitted. Fluctuations in the intrinsic value of both outstanding and exercisable options may result from changes in underlying stock price and timing and volume of option grants, exercises and forfeitures.