Basis Of Presentation And Summary of Significant Accounting Policies - Additional Information (Details) $ / shares in Units, $ in Thousands					3 Months Ended		9 Months Ended		12 Months Ended
	Nov. 03, 2022 USD ($)	Jul. 28, 2022 USD ($)	Jul. 27, 2022 USD ($)	Jul. 30, 2014	Sep. 28, 2022 USD ($) restaurant $ / shares	Sep. 29, 2021 USD ($) restaurant	Sep. 28, 2022 USD ($) restaurant item segment $ / shares	Sep. 29, 2021 USD ($) restaurant	Dec. 29, 2021 USD ($) item $ / shares	Oct. 11, 2022 USD ($) $ / shares	Dec. 30, 2020 USD ($)
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Number of operating segments | segment							1
Leaves of absence and overtime pay due to COVID 19					$ 500	$ 500	$ 3,100	$ 3,500
Revolver loan					20,000		20,000		$ 40,000
Total amount of outstanding debt					20,000		20,000
Cash available					$ 19,275		$ 19,275		$ 30,046
Common stock, par value (usd per share) | $ / shares					$ 0.01		$ 0.01		$ 0.01
Proceeds from swap		$ 600
Impairment of property and equipment					$ 100	100	$ 392	701
Unrecognized tax benefits, accrual of interest or penalties					0		0		$ 0
Unrecognized tax benefits, interest or penalties expenses					0	0	0	0
Percentage of cash savings in taxes realized as a result of utilizing net operating losses payable to pre-IPO stockholders				85.00%
Income tax receivable agreement income					(29)	(19)	$ (345)	(69)
Total deferred amount											$ 4,900
Percentage of deferred amount due by current fiscal year											50.00%
Percentage of deferred amount due by next fiscal year											50.00%
Maximum
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Income tax receivable agreement income					$ (100)	$ (100)		$ (100)
Supplier Concentration Risk | Supplier One | Accounts Payable
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Number Of Suppliers | item							1		1
Percentage of concentration							25.20%		26.10%
Supplier Concentration Risk | Largest Supplier One | Purchased
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Percentage of concentration					28.40%	27.00%	28.50%	28.10%
Geographic Concentration Risk | Revenue
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Percentage of concentration					100.00%	100.00%	100.00%	100.00%
Subsequent Event
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Authorized amount under share repurchase agreement										$ 20,000
Cash available	$ 10,000
Dividend amount per share | $ / shares										$ 1.50
Common stock, par value (usd per share) | $ / shares										$ 0.01
2018 Credit Agreement | Revolving Credit Facility
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Senior secured revolving facility			$ 150,000
Senior secured revolving facility term			5 years
2022 Credit Agreement | Revolving Credit Facility
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Senior secured revolving facility			$ 150,000
Senior secured revolving facility term			5 years
Debt Instrument, Maturity Date							Jul. 27, 2027
Revolver loan					$ 20,000		$ 20,000
2022 Credit Agreement | Revolving Credit Facility | SOFR
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Debt instrument basis percentage							1.00%
2022 Credit Agreement | Revolving Credit Facility | Federal Funds Rate
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Debt instrument basis percentage							0.50%
2022 Credit Agreement | Revolving Credit Facility | Minimum | SOFR
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Debt instrument basis percentage							1.25%
2022 Credit Agreement | Revolving Credit Facility | Minimum | Base Rate
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Debt instrument basis percentage							0.25%
2022 Credit Agreement | Revolving Credit Facility | Maximum | SOFR
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Debt instrument basis percentage							2.25%
2022 Credit Agreement | Revolving Credit Facility | Maximum | Base Rate
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Debt instrument basis percentage							1.25%
2022 Credit Agreement | Revolving Credit Facility | Subsequent Event
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Proceeds from Lines of Credit	46,000
Revolver loan	$ 66,000
2022 Credit Agreement | Letter of Credit
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Sub limit of revolving facility			$ 15,000
2022 Credit Agreement | Swing Line Loans
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Sub limit of revolving facility			$ 15,000
Texas
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Number of restaurants with ROU asset impairment charges | restaurant						1		1
California
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Number of restaurants | restaurant					1	3	1	3
Number of restaurants with ROU asset impairment charges | restaurant						1		1
Greater Los Angeles area market | Geographic Concentration Risk | Revenue
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Percentage of concentration					71.90%	71.60%	71.20%	70.80%
Closed Store
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Closed-store reserve expense							$ 200	$ 400
Closed Store | Maximum
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Closed-store reserve expense					$ 100	$ 100
Company-operated
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Number of restaurants | restaurant					190		190
Franchised
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Number of restaurants | restaurant					297		297