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Related Party Transaction - Additional Information (Details) - USD ($)
3 Months Ended 9 Months Ended
Feb. 27, 2021
Feb. 29, 2020
Feb. 27, 2021
Feb. 29, 2020
Related Party Transaction [Line Items]        
Rental expense $ 484,000 $ 481,000 $ 1,474,000 $ 1,427,000
Lessor - LDL, LLC | Lee A. McIntyre III        
Related Party Transaction [Line Items]        
Total future minimum lease payments $ 700,000   $ 700,000  
Lease term 5 years   5 years  
Lessor - LDL, LLC | Lee A. McIntyre III | Maximum        
Related Party Transaction [Line Items]        
Rental expense     $ 100,000 $ 100,000