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Cash and Receivables Accounts and Notes Receivable (Details) - USD ($)
$ in Thousands
Jan. 01, 2017
Jan. 03, 2016
Dec. 28, 2014
Dec. 29, 2013
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Income Taxes Receivable $ 18,111 $ 23,508    
Accounts receivable, gross, current 99,866 105,986    
Accounts and notes receivable, gross, current 102,855 108,342    
Allowance for doubtful accounts, current (4,030) (3,488) $ (2,343) $ (3,310)
Accounts and notes receivable, net, current 98,825 104,854    
Allowance for doubtful accounts, noncurrent (26) (257) $ (246) $ (256)
Franchisees [Member]        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Accounts receivable, gross, current 74,134 71,158    
Notes receivable from franchisees, gross, current 2,989 2,356    
Notes and loans receivable from franchisees, gross, noncurrent 9,290 5,158    
Allowance for doubtful accounts, noncurrent (26) (257)    
Notes and loans receivable, net, noncurrent 9,264 4,901    
Other Receivables [Member]        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Accounts receivable, gross, current 25,732 34,828    
Japan JV [Member] | Franchisees [Member]        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Notes receivable from franchisees, gross, current   701    
Notes and loans receivable from franchisees, gross, noncurrent   2,212    
Brazil JV [Member]        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Notes and loans receivable from franchisees, gross, noncurrent 6,810 1,700    
Indonesia [Member]        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Notes and loans receivable from franchisees, gross, noncurrent 2,454      
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    
Notes and loans receivable from franchisees, gross, noncurrent   331    
Accounts and notes receivable [Member]        
Accounts, Notes, Loans and Financing Receivable [Line Items]        
Net current investment in direct financing leases $ (101) $ (25)