Stock-based Compensation and Stockholders' Equity - Narrative (Details) - USD ($) $ in Millions	3 Months Ended	6 Months Ended
Nov. 28, 2021	Nov. 28, 2021	Jul. 14, 2010
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Granted options (in shares)	0	703,000
Shares for future issuance (in shares)	3,800,000	3,800,000
Unrecognized compensation expense	$ 3.9	$ 3.9
Repurchase plan authorized amount (up to)	$ 3.8	$ 3.8	$ 10.0
Stock repurchased during period (in shares)		0
RSUs
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awarded (in shares)	0	83,000
Weighted-average period (in years)		1 year 2 months 26 days
Employee Stock Option
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Weighted-average period (in years)		2 years 2 months 15 days

Aggregate number of common shares reserved for future issuance.

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Amount of cost not yet recognized for nonvested award under share-based payment arrangement.

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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.

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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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Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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Gross number of share options (or share units) granted during the period.

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Amount of stock repurchase plan authorized.

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Number of shares that have been repurchased during the period and have not been retired and are not held in treasury. Some state laws may govern the circumstances under which an entity may acquire its own stock and prescribe the accounting treatment therefore. This element is used when state law does not recognize treasury stock.

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