Stock-Based Compensation - Narrative (Details) - USD ($) $ in Thousands	9 Months Ended
Jun. 03, 2023	May 28, 2022
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Award requisite service period	3 years
Stock options
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Total intrinsic value of options exercised	$ 3,044	$ 4,771
Performance share units (1)
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Vesting period	3 years
Unrecognized share-based compensation cost	$ 5,314
Unrecognized share-based compensation weighted average period	1 year 8 months 12 days
Performance share units (1) \| Minimum
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Vested shares, percentage of target award amount	0.00%
Performance share units (1) \| Maximum
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Vested shares, percentage of target award amount	200.00%
Restricted stock units (1)
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Unrecognized share-based compensation cost	$ 28,687
Unrecognized share-based compensation weighted average period	2 years 7 months 6 days

Share-based Compensation Arrangement by Share-based Payment Award, Vested Shares, Percentage of Target Award Amount

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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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Estimated period over which an employee is required to provide service in exchange for the equity-based payment award, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Period over which grantee's right to exercise award under share-based payment arrangement is no longer contingent on satisfaction of service or performance condition, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. Includes, but is not limited to, combination of market, performance or service condition.

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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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Amount of accumulated difference between fair value of underlying shares on dates of exercise and exercise price on options exercised (or share units converted) into shares.

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