Revenues - (Disaggregation of Revenues) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 28, 2022	Dec. 29, 2021	Dec. 30, 2020
Disaggregation of Revenue [Line Items]
Total operating revenue	$ 456,429	$ 398,174	$ 288,605
Company restaurant sales
Disaggregation of Revenue [Line Items]
Total operating revenue	199,753	175,017	118,160
Royalties
Disaggregation of Revenue [Line Items]
Total operating revenue	113,891	103,425	67,501
Advertising revenue
Disaggregation of Revenue [Line Items]
Total operating revenue	75,926	69,957	53,745
Initial and other fees
Disaggregation of Revenue [Line Items]
Total operating revenue	28,262	8,009	7,332
Occupancy revenue
Disaggregation of Revenue [Line Items]
Total operating revenue	38,597	41,766	41,867
Franchise and license revenue
Disaggregation of Revenue [Line Items]
Total operating revenue	$ 256,676	$ 223,157	$ 170,445