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Organization, Basis of Presentation, and Summary of Significant Accounting Policies - Inventories (Details) - USD ($) $ in Thousands | 12 Months Ended |  |  |  |  |  |  |  |  |  |
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | ---
May 28, 2023 | May 29, 2022 | Feb. 26, 2023 | Nov. 27, 2022 | Aug. 28, 2022 | Feb. 27, 2022 | Nov. 28, 2021 | Aug. 29, 2021 | May 30, 2021 | Feb. 28, 2021 | Nov. 29, 2020 | Aug. 30, 2020
Inventory [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Finished goods | $ 13,141 | $ 13,397 | $ 13,541 | $ 15,659 | $ 10,781 | $ 13,403 | $ 20,885 | $ 19,044 | $ 17,754 | $ 12,651 | $ 14,662 | $ 12,906
Raw materials | 17,351 | 15,488 | 18,651 | 15,477 | 16,261 | 17,413 | 14,739 | 14,342 | 10,301 | 11,009 | 10,118 | 9,640
Work in progress | 10,349 | 7,115 | 9,850 | 7,284 | 9,112 | 3,942 | 4,091 | 3,483 | 5,875 | 7,781 | 7,624 | 6,363
Total inventories | 40,841 | 36,000 | $ 42,042 | $ 38,420 | $ 36,154 | $ 34,758 | $ 39,715 | $ 36,869 | $ 33,930 | $ 31,441 | $ 32,404 | $ 28,909
Inventory write-down | 4,900 | 4,600 |  |  |  |  |  |  |  |  |  |
Cost of sales |  |  |  |  |  |  |  |  |  |  |  |
Inventory [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Inventory write-down | $ 300 | $ 3,500 |  |  |  |  |  |  |  |  |  |

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- Definition Amount before valuation and LIFO reserves of completed merchandise or goods expected to be sold within one year or operating cycle, if longer. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 210 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(6)(a)(1)) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480566/210-10-S99-1 + Details
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