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Stock-Based Compensation - Schedule of Director Share Based Compensation (Details) - Director - shares	12 Months Ended
	Jun. 03, 2023	May 28, 2022	May 29, 2021
Share-based Compensation Arrangement by Share-based Payment Award
Shares of common stock (in shares)	27,785	23,255	3,013
Stock options (in shares)	0	0	0
Deferred stock units
Share-based Compensation Arrangement by Share-based Payment Award
Deferred stock units pursuant to the Director Plan (in shares)	25,230	15,664

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The number of grants made during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

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