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Transactions with Related Parties (Details)
$ in Thousands
3 Months Ended 6 Months Ended 12 Months Ended
Jun. 28, 2020
USD ($)
Rate
shares
Jun. 30, 2019
USD ($)
Jun. 28, 2020
USD ($)
Rate
shares
Jun. 30, 2019
USD ($)
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 $ 21,000   $ 21,000   $ 14,000    
Gain on Business Interruption Insurance Recovery 1,300   1,600 $ 100      
Other Income $ 2,003   $ 1,947 1,753      
Litigation Settlement, Amount Awarded from Other Party       1,900      
Affiliated Entity [Member]              
Related Party Transaction [Line Items]              
Preferred stock, ownership percentage if converted | Rate 15.20%   15.20%        
Initial Franchise Fees     $ 50,000        
Franchise Term     20 years        
Property leases 239   239        
Operating Leases, Rent Expense $ 6,300 $ 6,800 $ 13,000 13,600      
Royalty Expense 15,900 15,600 31,000 28,000      
Advertising Expense $ 14,100 $ 14,400 $ 27,500 $ 25,800      
BKC Subleases with third-party lessor [Member] | Affiliated Entity [Member]              
Related Party Transaction [Line Items]              
Property leases 107   107        
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%