Revenue Recognition (Details) - USD ($) $ in Thousands	3 Months Ended
	Apr. 04, 2023	Mar. 29, 2022	Jan. 03, 2023
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Expected unredeemed percent	13.00%
Estimated redemption period	24 months
Gift card liability, current	$ 2,073		$ 2,430
Revenue recognized for redemption of gift cards	$ 1,000	$ 1,000
Period in which initial fees received from franchisees will be recognized as revenue	20 years
Loyalty program deferred revenue	$ 500		300
Accrued Expenses and Other Current Liabilities
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Gift card liability, current	2,100		2,400
Other Long-term Liabilities
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Gift card liability, non-current	$ 700		$ 700