Related Parties (Details) $ in Thousands		3 Months Ended	12 Months Ended
	Apr. 30, 2019 USD ($) restaurant state	Mar. 31, 2019 USD ($)	Dec. 29, 2019 USD ($) shares yr Rate	Dec. 30, 2018 USD ($) shares	Dec. 31, 2017 USD ($)	Jan. 03, 2016
Related Party Transaction [Line Items]
Preferred Stock, Shares Issued | shares			100	100
Franchise Term | yr			20
Board of directors, number of members			2
Franchise Agreement, Term			20 years
Restaurant rent expense			$ 107,147	$ 81,409	$ 75,948
Related Party Transaction, Accounts Payable			45,780	29,143
Franchise Agreement, Number Of States | state	16
Franchise Agreement, Number Of Additional States | state	4
Franchise Agreement, Remodeling Expense	$ 3,000
Settlement, Approval of Restaurant Development		$ 1,900
Related Party, Burger King Corporate [Member]
Related Party Transaction [Line Items]
Initial Franchise Fees			$ 50
Sale of Stock, Percentage of Ownership after Transaction | Rate			15.40%
Related Party Transaction, Royalty Fee Rate | Rate			4.50%
Royalty Expense			$ 62,000	50,500	46,400
Related Party Transaction, Advertising Fee Rate | Rate			4.00%
Advertising Expense			$ 56,700	$ 47,000	43,500
Leases, Number of Leased Restaurants			248	244		251
Restaurant rent expense			$ 27,400	$ 27,200	$ 27,600
Related Party Transaction, Accounts Payable			$ 11,500
Franchise Agreement, Number Of Restaurant To be Removed Additional | restaurant	500
Popeyes Franchises [Member]
Related Party Transaction [Line Items]
Right Of First Refusal, Number Of Franchises | restaurant	80
Right of First Refusal, Term	6 years
Property Leases Identical to BKC's Lease with Third Party [Member] | Affiliated Entity [Member]
Related Party Transaction [Line Items]
Leases, Number of Leased Restaurants			115
Series B Preferred Stock [Member]
Related Party Transaction [Line Items]
Preferred Stock, Shares Issued | shares			100
Popeyes Franchises [Member]
Related Party Transaction [Line Items]
Related Party Transaction, Royalty Fee Rate | Rate			5.00%
Right of First Refusal, Number of States | shares			2