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Related Parties (Details)
$ in Thousands
12 Months Ended
Jan. 03, 2016
USD ($)
yr
Rate
shares
Dec. 28, 2014
USD ($)
shares
Dec. 29, 2013
USD ($)
May. 30, 2012
Rate
Related Party Transaction [Line Items]        
Preferred Stock, Shares Issued | shares 100 100    
Convertible Preferred Stock, Common Shares Issuable upon Conversion | shares 9,414,580      
Franchise Term | yr 20      
Sale of Stock, Percentage of Ownership after Transaction | Rate 21.00%     28.90%
Restaurant rent expense $ 58,096 $ 48,865 $ 47,198  
Related Party Transaction, Accounts Payable 20,436 19,239    
Related Party, Burger King Corporate [Member]        
Related Party Transaction [Line Items]        
Initial Franchise Fees $ 50      
Related Party Transaction, Royalty Fee Rate | Rate 4.50%      
Royalty Expense $ 36,200 29,100 27,700  
Related Party Transaction, Advertising Fee Rate | Rate 4.00%      
Advertising Expense $ 32,000 $ 27,500 $ 28,900  
Leases, Number of Leased Restaurants 293 311 295  
Restaurant rent expense $ 28,400 $ 26,600 $ 26,700  
Related Party Transaction, Other Liabilities 900      
Related Party Transaction, Accounts Payable $ 5,700      
Property Leases Identical to BKC's Lease with Third Party [Member] | Affiliated Entity [Member]        
Related Party Transaction [Line Items]        
Leases, Number of Leased Restaurants 163