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Revenue Recognition - Summary of Disaggregation of Revenues (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Oct. 02, 2022
Oct. 03, 2021
Oct. 02, 2022
Oct. 03, 2021
Disaggregation of Revenue [Line Items]        
Total net revenues $ 377,522 $ 342,799 $ 1,125,299 $ 1,013,794
Company Shops, DFD and Branded Sweet Treat Line        
Disaggregation of Revenue [Line Items]        
Total net revenues 353,979 322,410 1,060,364 952,680
Mix and equipment revenue from franchisees        
Disaggregation of Revenue [Line Items]        
Total net revenues 16,237 11,914 41,681 36,452
Franchise royalties and other        
Disaggregation of Revenue [Line Items]        
Total net revenues $ 7,306 $ 8,475 $ 23,254 $ 24,662