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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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