Basis Of Presentation And Summary of Significant Accounting Policies - Additional Information (Details) $ in Thousands					3 Months Ended		6 Months Ended		12 Months Ended
	Jul. 29, 2022 USD ($)	Jul. 27, 2022 USD ($)	Jul. 13, 2018 USD ($)	Jul. 30, 2014	Jun. 29, 2022 USD ($) restaurant	Jun. 30, 2021 USD ($) restaurant	Jun. 29, 2022 USD ($) item restaurant segment	Jun. 30, 2021 USD ($) restaurant	Dec. 29, 2021 USD ($)	Aug. 04, 2022 USD ($)	Dec. 30, 2020 USD ($)
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					$ 300	$ 200	$ 2,600	$ 3,000
Revolver loan					40,000		40,000		$ 40,000
Total amount of outstanding debt					40,000		40,000
Cash available					34,311		34,311		30,046
Proceeds from disposition of restaurants								4,556
Impairment losses						1,524		1,524
Impairment of property and equipment					200	400	253	666
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) expense					(186)	27	$ (316)	(50)
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%
Minimum
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Income tax receivable agreement (income) expense					$ (200)
Maximum
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Income tax receivable agreement (income) expense						$ 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
Percentage of concentration							24.10%		26.10%
Supplier Concentration Risk | Largest Supplier One | Purchased
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Percentage of concentration					27.40%	26.20%	28.50%	26.60%
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]
Settlement of interest rate swap		$ 600
Revolving Credit Facility | Subsequent Event
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Revolver loan										$ 20,000
Prepayment for long-term line of credit	$ 20,000
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
Debt Instrument, Maturity Date							Jul. 13, 2023
Revolver loan					$ 40,000		$ 40,000
2018 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%
2018 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%
2018 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%
2018 Credit Agreement | Letter of Credit
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Sub limit of revolving facility			$ 15,000
2018 Credit Agreement | Swing Line Loans
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Sub limit of revolving facility			$ 15,000
2022 Credit Agreement | Revolving Credit Facility
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Debt Instrument, Maturity Date							Jul. 27, 2027
2022 Credit Agreement | Revolving Credit Facility | Subsequent Event
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 | Subsequent Event | SOFR
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Debt instrument basis percentage		1.00%
2022 Credit Agreement | Revolving Credit Facility | Subsequent Event | 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 | Subsequent Event | 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 | Subsequent Event | 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 | Subsequent Event | 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 | Subsequent Event | Maximum | Base Rate
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Debt instrument basis percentage		1.25%
2022 Credit Agreement | Letter of Credit | Subsequent Event
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Sub limit of revolving facility		$ 15,000
2022 Credit Agreement | Swing Line Loans | Subsequent Event
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					70.90%	70.60%	70.90%	70.40%
Closed Store
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Closed-store reserve expense						$ 100	$ 100	$ 300
Closed Store | Maximum
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Closed-store reserve expense					$ 100
Company-operated
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Number of restaurants | restaurant					188		188
Franchised
Basis Of Presentation And Summary Of Significant Accounting Policies [Line Items]
Number of restaurants | restaurant					293		293