Summary of Refranchsing and Franchise Acquisitions Franchise Acquisitions (Details) $ in Thousands	12 Months Ended
	Dec. 31, 2019 USD ($) location	Jan. 01, 2019 USD ($) location	Jan. 02, 2018 USD ($) location	Jan. 02, 2019 USD ($)
Business Acquisition [Line Items]
Period Increase (Decrease) In Assets Held-For-Sale, Other Property And Equipment, Not Part of Disposal Group	$ 4,500
Assets Held-For-Sale, Goodwill, Not Part of Disposal Group, Adjustment	8,700
Assets Held-For-Sale, Goodwill, Not Part of Disposal Group, Relieved	1,700
Assets Held-For-Sale, Other Property And Equipment, Not Part of Disposal Group, Adjustment	6,800
Goodwill	$ 192,739	$ 321,531		$ 321,531
Prepaid expenses and other current assets		$ 100
Franchise revenue
Business Acquisition [Line Items]
Franchise-operated restaurants acquired from franchisees | location	4	3	1
Goodwill	$ 4,302	$ 893	$ 860
Property and equipment	660	798	360
Reacquired franchise rights	0	150	0
Unfavorable lease liabilities (a)	(130)	0	(85)
Liabilities assumed	0	0	(7)
Total gross consideration	$ 4,832	$ 1,841	$ 1,128