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Related Parties (Details)
$ in Thousands
12 Months Ended
Dec. 31, 2017
USD ($)
yr
Rate
shares
Jan. 01, 2017
USD ($)
shares
Jan. 03, 2016
USD ($)
Dec. 28, 2014
Related Party Transaction [Line Items]        
Preferred Stock, Shares Issued | shares 100 100    
Franchise Term | yr 20      
Board of directors, number of members 2      
Restaurant rent expense $ 75,948 $ 64,814 $ 58,096  
Related Party Transaction, Accounts Payable 29,245 22,445    
Related Party, Burger King Corporate [Member]        
Related Party Transaction [Line Items]        
Initial Franchise Fees $ 50      
Sale of Stock, Percentage of Ownership after Transaction | Rate 20.70%      
Related Party Transaction, Royalty Fee Rate | Rate 4.50%      
Royalty Expense $ 46,400 40,000 36,200  
Related Party Transaction, Advertising Fee Rate | Rate 4.00%      
Advertising Expense $ 43,500 $ 40,200 32,000  
Leases, Number of Leased Restaurants 251 275   293
Restaurant rent expense $ 27,600 $ 27,800 $ 28,400  
Related Party Transaction, Accounts Payable $ 7,500      
Property Leases Identical to BKC's Lease with Third Party [Member] | Affiliated Entity [Member]        
Related Party Transaction [Line Items]        
Leases, Number of Leased Restaurants 125