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Related Party Transaction - Additional Information (Details) - USD ($) $ in Millions | 12 Months Ended
--- | ---
Jun. 01, 2019 | Jun. 02, 2018 | May 27, 2017
Rental expense | $ 1.7 | $ 1.8 | $ 1.9
Lessor - LDL, LLC | Lee A. McIntyre III |  |  |
Total future minimum lease payments | $ 0.1 |  |
Lease term | 5 years |  |
Renewal term | 5 years |  |
Rental expense | $ 0.1 | $ 0.1 | $ 0.1

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- Definition Amount of required minimum rental payments for leases having an initial or remaining non-cancelable letter-terms in excess of one year. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 840 -SubTopic 10 -Section 55 -Paragraph 40 -Subparagraph (Note 3) -URI http://asc.fasb.org/extlink&oid=82846649&loc=d3e38371-112697 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 840 -SubTopic 20 -Section 50 -Paragraph 2 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=77902758&loc=d3e41502-112717 + Details
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