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Stockholders' Deficit (Details) $ / shares in Units, $ in Thousands | 12 Months Ended |
--- | --- | ---
Sep. 28, 2025 USD ($) restaurant $ / shares shares | Sep. 29, 2024 USD ($) $ / shares | Oct. 01, 2023 USD ($) $ / shares | Jul. 01, 2025 shares
Dividends Payable [Line Items] |  |  |  |
Shares repurchased (in shares) | shares | 100,000 |  |  |
Cost of shares repurchased | $ | $ 4,996 | $ 70,592 | $ 90,731 |
Remaining amount under stock repurchase program | $ | $ 175,000 |  |  |
Number of cash dividends declared | restaurant | 2 |  |  |
Cash dividends declared per common share (in usd per share) | $ 0.88 | $ 1.76 | $ 1.76 |
Total cash dividends | $ | $ 16,700 |  |  |
Common stock, stockholder rights exercisable, threshold percentage of outstanding shares owned by one person or group |  |  |  | 0.125
Common stock, stockholder rights, discount percentage |  |  |  | 50.00%
Common shares issued for each right (in shares) | shares |  |  |  | 1
Dividends Declared, Tranche One |  |  |  |
Dividends Payable [Line Items] |  |  |  |
Cash dividends declared per common share (in usd per share) | $ 0.44 |  |  |
Dividends Declared, Tranche Two |  |  |  |
Dividends Payable [Line Items] |  |  |  |
Cash dividends declared per common share (in usd per share) | 0.44 |  |  |
Dividends Declared, Tranche Three |  |  |  |
Dividends Payable [Line Items] |  |  |  |
Cash dividends declared per common share (in usd per share) | 0.44 |  |  |
Dividends Declared, Tranche Four |  |  |  |
Dividends Payable [Line Items] |  |  |  |
Cash dividends declared per common share (in usd per share) | $ 0.44 |  |  |

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