Restaurant Impairments, Closure Costs and Asset Disposals (Narrative) (Details) $ in Thousands	3 Months Ended									12 Months Ended
	Jan. 01, 2019 USD ($) restaurant	Oct. 02, 2018 restaurant	Jul. 03, 2018 restaurant	Apr. 03, 2018 restaurant	Jan. 02, 2018 USD ($) restaurant	Oct. 03, 2017 restaurant	Jul. 04, 2017 restaurant	Apr. 04, 2017 USD ($) restaurant	Dec. 29, 2015 restaurant	Jan. 01, 2019 USD ($) restaurant	Jan. 02, 2018 USD ($) restaurant	Jan. 03, 2017 USD ($) restaurant
Restructuring Cost and Reserve [Line Items]
Closure costs								$ 19,900		$ 4,149	$ 20,052	$ 2,251
Number of restaurants closed | restaurant	7	3	7	2				55	16	19
Number of restaurants impaired | restaurant	0	0	0	1	3	18	9	4		1	34	54
Restructuring reserve, current portion	$ 1,683				$ 2,447					$ 1,683	$ 2,447
Other current liabilities
Restructuring Cost and Reserve [Line Items]
Restructuring reserve, current portion	1,700				2,400					1,700	2,400
Other long-term liabilities
Restructuring Cost and Reserve [Line Items]
Restructuring Reserve, Noncurrent	$ 1,300				$ 5,800					$ 1,300	$ 5,800
Minimum
Restructuring Cost and Reserve [Line Items]
Present value non-cancelable lease payment discount rate										4.45%
Maximum
Restructuring Cost and Reserve [Line Items]
Present value non-cancelable lease payment discount rate										6.15%