Basis of Presentation - Narrative (Details)
$ in Thousands
12 Months Ended
Jan. 02, 2022
USD ($)
restaurant
Jan. 03, 2021
USD ($)
Dec. 31, 2018
USD ($)
Entity Information [Line Items]      
Lease term, new restaurants 20 years 20 years  
Cumulative effect adjustment to retained earnings | $ $ 2,043 $ (8,327)  
Deferred tax asset related to sale-leaseback transactions | $ $ 9,023 $ 0  
ASU 2016-02      
Entity Information [Line Items]      
Cumulative effect adjustment to retained earnings | $     $ 14,000
Deferred gains on sale-leaseback transactions | $     18,600
Deferred tax asset related to sale-leaseback transactions | $     4,300
Impairment charges related to sale-leaseback transactions | $     $ 200
Minimum      
Entity Information [Line Items]      
Lease term, new restaurants 20 years    
Pre-Opening Threshold Period For Recording Pre-Opening Costs 4 months    
Maximum      
Entity Information [Line Items]      
Lease term, new restaurants 30 years    
Pre-Opening Threshold Period For Recording Pre-Opening Costs 6 months    
Supplier Concentration Risk | Cost of Goods and Service Benchmark      
Entity Information [Line Items]      
Percentage of supplies delivered to restaurants provided by one vendor 96.00% 98.00%  
Entity Operated Units | Pollo Tropical      
Entity Information [Line Items]      
Number of restaurants 138    
Franchised Units | Pollo Tropical      
Entity Information [Line Items]      
Number of restaurants 31    
Franchised Units | Pollo Tropical | Puerto Rico      
Entity Information [Line Items]      
Number of restaurants 17    
Franchised Units | Pollo Tropical | Panama      
Entity Information [Line Items]      
Number of restaurants 2    
Franchised Units | Pollo Tropical | Guyana      
Entity Information [Line Items]      
Number of restaurants 1    
Franchised Units | Pollo Tropical | Ecuador      
Entity Information [Line Items]      
Number of restaurants 2    
Franchised Units | Pollo Tropical | Bahamas      
Entity Information [Line Items]      
Number of restaurants 1    
Franchised Units | Pollo Tropical | U.S Virgin Islands      
Entity Information [Line Items]      
Number of restaurants 1    
Franchised Units | Pollo Tropical | Florida | College Campus      
Entity Information [Line Items]      
Number of restaurants 5    
Franchised Units | Pollo Tropical | Florida | Hospital      
Entity Information [Line Items]      
Number of restaurants 1    
Franchised Units | Pollo Tropical | Florida | Sports and Entertainment Stadium      
Entity Information [Line Items]      
Number of restaurants 1