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Income Taxes - Additional Information (Details) - USD ($)
3 Months Ended 6 Months Ended
Nov. 27, 2021
Nov. 28, 2020
Nov. 27, 2021
Nov. 28, 2020
May 29, 2021
Operating Loss Carryforwards [Line Items]          
Income tax provision $ 550,000 $ 53,000 $ 717,000 $ 177,000  
Effective income tax rate     9.60% (63.00%)  
U.S. statutory tax rate     21.00%    
Liability for uncertain tax positions related to continuing operations, excluding interest and penalties 100,000   $ 100,000   $ 100,000
Deferred tax valuation allowance 10,400,000   10,400,000   12,200,000
Maximum          
Operating Loss Carryforwards [Line Items]          
Deferred tax liability, undistributed earnings of foreign subsidiaries $ 100,000   $ 100,000   $ 100,000