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Cash and Receivables Accounts and Notes Receivable (Details) - USD ($)
$ in Thousands
Jan. 03, 2016
Dec. 28, 2014
Dec. 29, 2013
Dec. 30, 2012
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Income Taxes Receivable $ 23,508 $ 8,431    
Accounts receivable, gross, current 105,986 66,403    
Accounts and notes receivable, gross, current 108,342 70,554    
Allowance for doubtful accounts, current (3,488) (2,343) $ (3,310) $ (5,740)
Accounts and notes receivable, net, current 104,854 68,211    
Allowance for doubtful accounts, noncurrent (257) (246) $ (256) $ (2,881)
Franchisees [Member]        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Accounts receivable, gross, current 71,158 46,433    
Notes receivable from franchisees, gross, current 2,356 4,151    
Notes and loans receivable from franchisees, gross, noncurrent 5,158 4,931    
Allowance for doubtful accounts, noncurrent (257) (246)    
Notes and loans receivable, net, noncurrent 4,901 4,685    
Other Receivables [Member]        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Accounts receivable, gross, current 34,828 19,970    
Japan JV [Member] | Franchisees [Member]        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Notes receivable from franchisees, gross, current 701 266    
Notes and loans receivable from franchisees, gross, noncurrent 2,212 2,179    
Brazil JV [Member]        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Notes and loans receivable from franchisees, gross, noncurrent 1,700      
Sale of Company-Owned Restaurants to Franchisees [Member] | Franchisees [Member]        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Notes receivable from franchisees, gross, current 83 3,520    
Notes and loans receivable from franchisees, gross, noncurrent 331 414    
Accounts and notes receivable [Member]        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Net current investment in direct financing leases $ 25 $ 193