Stock Compensation Plan (Narrative) (Details) - USD ($) $ in Millions	12 Months Ended
Jun. 03, 2023	May 28, 2022	May 29, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock based compensation expense (benefit)	$ 4.2	$ 4.1	$ 3.8
2012 Omnibus Long-Term Incentive Plan [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Incentive plan shares authorized (in shares)	2,000,000
Shares remaining for issuance	941,593
Unrecognized compensation expense	$ 7.2	$ 7.0
Weighted average period of unrecognized compensation expense	2 years 1 month 6 days

Amount of expense for award under share-based payment arrangement. Excludes amount capitalized.

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (h)(1)(i)
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Weighted-average period over which cost not yet recognized is expected to be recognized for award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

+ References

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-Publisher FASB
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Amount of cost to be recognized for nonvested award under share-based payment arrangement. Excludes share and unit options.

+ References

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+ References

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Number of shares authorized for issuance under share-based payment arrangement.

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The difference between the maximum number of shares (or other type of equity) authorized for issuance under the plan (including the effects of amendments and adjustments), and the sum of: 1) the number of shares (or other type of equity) already issued upon exercise of options or other equity-based awards under the plan; and 2) shares (or other type of equity) reserved for issuance on granting of outstanding awards, net of cancellations and forfeitures, if applicable.

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