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Stock-based Compensation and Stockholders' Equity - Narrative (Details) - USD ($)	3 Months Ended	6 Months Ended
	Nov. 29, 2020	Nov. 29, 2020	Jul. 14, 2010
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Granted options (in shares)	21,000	573,000
Shares for future issuance (in shares)	4,100,000	4,100,000
Unrecognized compensation expense	$ 4,700,000	$ 4,700,000
Repurchase plan authorized amount (up to)	$ 3,800,000	$ 3,800,000	$ 10,000,000.0
Treasure shares acquired (in shares)		0
RSUs
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awarded (in shares)	82,000	171,000
Weighted-average period (in years)		1 year 6 months 18 days
Employee Stock Option
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Weighted-average period (in years)		2 years 4 months 13 days

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Aggregate number of common shares reserved for future issuance.

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-SubTopic 10
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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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