Revenue Recognition (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Oct. 03, 2023	Sep. 27, 2022	Oct. 03, 2023	Sep. 27, 2022	Jan. 03, 2023
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Expected unredeemed percent			14.00%
Estimated redemption period			24 months
Gift card liability, current	$ 1,805		$ 1,805		$ 2,430
Revenue recognized for redemption of gift cards	600	$ 800	$ 2,200	$ 2,600
Period in which initial fees received from franchisees will be recognized as revenue			20 years
Loyalty program deferred revenue	900		$ 900		300
Accrued Expenses and Other Current Liabilities
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Gift card liability, current	1,800		1,800		2,400
Other Long-term Liabilities
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Gift card liability, non-current	$ 700		$ 700		$ 700