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Income Taxes - Additional Information (Details) - USD ($) | 12 Months Ended
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Jun. 01, 2019 | Jun. 02, 2018 | May 27, 2017
Operating Loss Carryforwards [Line Items] |  |  |
U.S. federal corporate tax rate | 21.00% | 29.20% | 34.00%
Federal net operating loss | $ 3,100,000 | $ 3,400,000 |
Foreign tax credits | 1,800,000 | 500,000 |
Alternative minimum tax credit carryforward | 0 |  |
Deferred tax liability, undistributed foreign earnings | 200,000 | 300,000 |
Deferred tax valuation allowance | 11,706,000 | 9,148,000 |
Change in valuation allowance | 2,600,000 |  |
Income Taxes Paid, Net | 300,000 | 500,000 | $ 400,000
Liability for uncertain tax positions related to continuing operations, excluding interest and penalties | 100,000 | 100,000 |
Lliability for interest and penalties | 0 | 0 |
State and Local Jurisdiction |  |  |
Operating Loss Carryforwards [Line Items] |  |  |
Operating Loss Carryforwards | 3,900,000 | 3,900,000 |
Foreign Tax Authority |  |  |
Operating Loss Carryforwards [Line Items] |  |  |
Operating Loss Carryforwards | $ 400,000 | $ 600,000 |

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- Definition Amount before allocation of valuation allowances of deferred tax asset attributable to deductible alternative minimum tax credit carryforwards. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 6 -URI http://asc.fasb.org/extlink&oid=84230637&loc=d3e32621-109319 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 3 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=84230637&loc=d3e32559-109319 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 8 -URI http://asc.fasb.org/extlink&oid=84230637&loc=d3e32632-109319 + Details
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