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Organization, Basis of Presentation, and Summary of Significant Accounting Policies - Advertising Cost, Related Party, and Property and Equipment and Finite-Lived Intangible Assets Narrative (Details) |  |  |  | 3 Months Ended | 6 Months Ended | 9 Months Ended | 12 Months Ended
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May 03, 2023 | Jan. 09, 2023 USD ($) d $ / shares shares | Nov. 25, 2022 USD ($) $ / shares shares | May 28, 2023 USD ($) $ / shares | Feb. 26, 2023 USD ($) shares | Nov. 27, 2022 USD ($) | Aug. 28, 2022 USD ($) | May 29, 2022 USD ($) $ / shares | Feb. 27, 2022 USD ($) | Nov. 28, 2021 USD ($) | Aug. 29, 2021 USD ($) | Feb. 28, 2021 USD ($) | Nov. 29, 2020 USD ($) | Aug. 30, 2020 USD ($) | Nov. 27, 2022 USD ($) | Feb. 26, 2023 USD ($) | May 28, 2023 USD ($) $ / shares shares | May 29, 2022 USD ($) $ / shares | May 30, 2021 USD ($)
Organization, Basis of Presentation, and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Advertising expense |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 5,100 | $ 5,600 | $ 100
Product sales |  |  |  | $ 31,145,000 | $ 26,536,000 | $ 21,864,000 | $ 23,724,000 | $ 28,107,000 | $ 35,232,000 | $ 25,601,000 | $ 22,330,000 | $ 27,807,000 | $ 23,792,000 | $ 22,675,000 | $ 45,587,000 |  | 103,269,000 | 111,270,000 | 100,874,000
Accounts receivable, less allowance for credit losses |  |  |  | $ 29,024,000 | $ 30,974,000 | $ 27,458,000 | $ 31,929,000 | $ 38,314,000 | $ 39,747,000 | $ 27,495,000 | $ 26,216,000 | $ 28,863,000 | $ 29,600,000 | $ 27,172,000 | $ 27,458,000 | $ 30,974,000 | $ 29,024,000 | $ 38,314,000 | 31,591,000
Proceeds of Convertible Preferred Stock, net of issuance costs (in shares) | shares |  |  |  |  | 39,000 |  |  |  |  |  |  |  |  |  |  |  | 39,000 |  |
Temporary equity par value (usd per share) | $ / shares |  |  |  | $ 0.001 |  |  |  | $ 0.00 |  |  |  |  |  |  |  |  | $ 0.001 | $ 0.00 |
Proceeds from sale of preferred stock, net of issuance costs |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 38,082,000 | $ 38,082,000 | $ 0 | 0
Percent of preferred stock outstanding |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 30.00% |  |
Available I=indebtedness threshold |  |  |  | $ 175,000,000 |  |  |  |  |  |  |  |  |  |  |  |  | $ 175,000,000 |  |
Supply agreement, automatic term extension | 2 years |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Related Party |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Organization, Basis of Presentation, and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Product sales |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 40,200,000 | 29,400,000 | $ 31,900,000
Accounts receivable, less allowance for credit losses |  |  |  | 9,100,000 |  |  |  | $ 6,300,000 |  |  |  |  |  |  |  |  | $ 9,100,000 | 6,300,000 |
Series A Preferred Stock |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Organization, Basis of Presentation, and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds of Convertible Preferred Stock, net of issuance costs (in shares) | shares |  | 38,750 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Temporary equity par value (usd per share) | $ / shares |  | $ 0.001 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from sale of preferred stock, net of issuance costs |  | $ 38,800,000 |  | $ 38,800,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Dividend percentage rate |  | 7.50% |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Liquidation preference per share (usd per share) | $ / shares |  | $ 7.00 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Mandatory conversion right, threshold trading days | d |  | 20 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Mandatory conversion right minimum |  | 150.00% |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Private Placement |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Organization, Basis of Presentation, and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of shares issued in transaction (in shares) | shares |  |  | 627,746 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Consideration received on transaction |  |  | $ 5,000,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Sale of stock price (usd per share) | $ / shares |  |  | $ 7.97 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Property, Plant and Equipment | Yucatan Foods |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Organization, Basis of Presentation, and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Asset impairment charges |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 11,900,000 |
Customer relationships | Yucatan Foods |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Organization, Basis of Presentation, and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Asset impairment charges |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 5,800,000 |
Minimum | Software Development |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Organization, Basis of Presentation, and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Useful life of property and equipment |  |  |  | 3 years |  |  |  |  |  |  |  |  |  |  |  |  | 3 years |  |
Maximum | Software Development |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Organization, Basis of Presentation, and Summary of Significant Accounting Policies [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Useful life of property and equipment |  |  |  | 7 years |  |  |  |  |  |  |  |  |  |  |  |  | 7 years |  |

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