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Investments Indirect Investment in Inspire Brands (Details) - USD ($)
$ in Thousands
3 Months Ended 12 Months Ended
Aug. 16, 2018
Dec. 30, 2018
Dec. 31, 2017
Dec. 30, 2018
Dec. 31, 2017
Jan. 01, 2017
Jan. 01, 2012
Feb. 05, 2018
Dec. 29, 2013
Schedule of Investments                  
Income Tax Expense (Benefit)     $ (121,649) $ 114,801 $ (93,010) $ 72,066      
Arby's Restaurant Group, Inc                  
Schedule of Investments                  
Proceeds from Divestiture of Business, Percentage of Buyer Stock Received             18.50%    
Inspire Brands carrying value                 $ 0
Inspire Brands, Inc                  
Schedule of Investments                  
Inspire Brands carrying value                 $ 0
Percentage of Arby's Stock after Dilutive Effect of Acquisition               12.30%  
Proceeds from sale of Inspire Brands investment $ 450,000                
Sale of Other Investments in Equity Securities, Transaction Costs 55                
Income Tax Expense (Benefit) $ 97,501                
Income Taxes Paid   $ 95,038              
Common stock | Arby's Restaurant Group, Inc                  
Schedule of Investments                  
Noncash or Part Noncash Divestiture, Amount of Consideration Received             $ 19,000