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Stock-Based Compensation - Schedule of Director Share Based Compensation (Details) - Director - shares	12 Months Ended
	Jun. 01, 2024	Jun. 03, 2023	May 28, 2022
Share-based Compensation Arrangement by Share-based Payment Award
Shares of common stock (in shares)	31,379	27,785	23,255
Stock options (in shares)	8,377	0	0
Deferred Stock Units
Share-based Compensation Arrangement by Share-based Payment Award
Deferred stock units pursuant to the Director Plan (in shares)	16,490	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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