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Transactions with Related Parties (Details)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 27, 2020
USD ($)
Rate
shares
Mar. 29, 2020
USD ($)
Sep. 29, 2019
USD ($)
Sep. 27, 2020
USD ($)
Rate
shares
Sep. 29, 2019
USD ($)
Dec. 29, 2019
USD ($)
shares
May 01, 2019
state
restaurant
Apr. 30, 2019
state
restaurant
Related Party Transaction [Line Items]                
Right of First Refusal, Number of States 20     20        
Preferred stock, shares issued | shares 100     100   100    
Board of directors, number of members 2     2        
Franchise agreement, term       20 years        
Accounts payable to BKC $ 14,300     $ 14,300   $ 14,000    
Gain on Business Interruption Insurance Recovery 200     1,700 $ 100      
Other Income $ (515)     $ 1,432 1,773      
Litigation Settlement, Amount Awarded from Other Party         1,900      
Affiliated Entity [Member]                
Related Party Transaction [Line Items]                
Preferred stock, ownership percentage if converted | Rate 15.30%     15.30%        
Initial Franchise Fees       $ 50        
Franchise Term       20 years        
Property leases 234     234        
Operating Leases, Rent Expense $ 6,900     $ 19,900 20,600      
Royalty Expense 17,800   $ 17,100 48,800 45,000      
Advertising Expense $ 15,600     $ 43,200 $ 41,400      
BKC Subleases with third-party lessor [Member] | Affiliated Entity [Member]                
Related Party Transaction [Line Items]                
Property leases 103     103        
Area Development And Remodeling Agreement [Member]                
Related Party Transaction [Line Items]                
Right of First Refusal, Number of States | state             2 16
Initial Franchise Fees   $ 3,000            
Right of first refusal, number of counties | state               4
Right of first refusal, number of franchises | restaurant               500
Franchise agreement, number of restaurants to be remodeled | restaurant             80  
Franchise Agreement, Number Of Restaurants To Be Built, Year Six       6 years        
Royalty Agreement Terms [Member] | Burger King Corporate [Member]                
Related Party Transaction [Line Items]                
Related Party Transaction, Rate | Rate       4.50%        
Royalty Agreement Terms [Member] | Popeyes [Member]                
Related Party Transaction [Line Items]                
Related Party Transaction, Rate | Rate       5.00%        
Selling and Marketing Expense [Member] | Affiliated Entity [Member]                
Related Party Transaction [Line Items]                
Related Party Transaction, Rate | Rate 4.00%