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Segment Information - Schedule of Segment Reporting Information, by Segment (Details) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
Dec. 29, 2019
Sep. 29, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 30, 2018
Sep. 30, 2018
Jul. 01, 2018
Apr. 01, 2018
Dec. 29, 2019
Dec. 30, 2018
Dec. 31, 2017
Segment Information                      
Total revenues $ 417,514 $ 403,706 $ 399,623 $ 398,405 $ 397,566 $ 385,231 $ 429,952 $ 450,122 $ 1,619,248 $ 1,662,871 $ 1,783,359
Depreciation and amortization                 47,281 46,403 43,668
Income (loss) before income taxes                 5,046 6,697 140,342
Refranchising and impairment gains (losses), net                 4,739 (289) (1,674)
Impairment loss                     1,674
Property and equipment, gross 676,406       665,172       676,406 665,172  
Accumulated depreciation and amortization (464,665)       (438,278)       (464,665) (438,278) (406,168)
Property and equipment, net 211,741       226,894       211,741 226,894 234,331
Expenditures for property and equipment                 37,711 42,028 52,593
China Operations                      
Segment Information                      
Refranchising loss                   1,900  
Impairment loss                     1,700
Domestic Company-owned restaurants                      
Segment Information                      
Total revenues                 652,053 692,380 816,718
Refranchising and impairment gains (losses), net                 4,700 1,600  
North America franchising                      
Segment Information                      
Total revenues                 71,828 79,293 106,729
North America franchising | Negative publicity and consumer sentiment                      
Segment Information                      
Special charges                 19,100 15,400  
International                      
Segment Information                      
Total revenues                 102,924 110,349 114,021
All others                      
Segment Information                      
Total revenues                 179,791 170,983  
Operating segments                      
Segment Information                      
Total revenues                 1,619,248 1,662,871  
Operating segments | Domestic Company-owned restaurants                      
Segment Information                      
Total revenues                 652,053 692,380 816,718
Depreciation and amortization                 12,883 15,411 15,484
Income (loss) before income taxes                 33,957 18,988 47,548
Property and equipment, gross 221,420       236,526       221,420 236,526 235,640
Expenditures for property and equipment                 8,811 13,568 15,245
Operating segments | North America commissaries                      
Segment Information                      
Total revenues                 612,652 609,866 673,712
Depreciation and amortization                 8,131 7,397 6,897
Income (loss) before income taxes                 30,439 27,961 47,844
Transfer of expenses between unallocated corporate and segments                   7,900  
Property and equipment, gross 142,946       140,309       142,946 140,309 136,701
Expenditures for property and equipment                 3,773 3,994 14,767
Operating segments | North America franchising                      
Segment Information                      
Total revenues                 71,828 79,293 106,729
Income (loss) before income taxes                 64,362 70,732 96,298
Operating segments | International                      
Segment Information                      
Total revenues                 126,077 131,268 126,285
Depreciation and amortization                 1,722 1,696 2,018
Income (loss) before income taxes                 19,110 14,399 15,888
Property and equipment, gross 16,031       17,218       16,031 17,218 17,257
Expenditures for property and equipment                 1,143 986 1,884
Operating segments | All others                      
Segment Information                      
Total revenues                 156,638 150,064 59,915
Depreciation and amortization                 10,738 8,513 5,276
Income (loss) before income taxes                 (2,500) (6,082) (179)
Transfer of expenses between unallocated corporate and segments                   3,500  
Property and equipment, gross 84,167       71,880       84,167 71,880 58,977
Expenditures for property and equipment                 11,541 13,438 8,239
Elimination                      
Segment Information                      
Total revenues                 (278,332) (276,639) (265,029)
Income (loss) before income taxes                 (967) (1,005) (958)
Elimination | North America commissaries                      
Segment Information                      
Total revenues                 (187,073) (201,325) (244,699)
Elimination | North America franchising                      
Segment Information                      
Total revenues                 (2,782) (2,965) (3,342)
Elimination | International                      
Segment Information                      
Total revenues                 (191) (283) (273)
Elimination | All others                      
Segment Information                      
Total revenues                 (88,286) (72,066) (16,715)
Unallocated corporate                      
Segment Information                      
Depreciation and amortization                 13,807 13,386 13,993
Income (loss) before income taxes                 (139,355) (118,296) (66,099)
Transfer of expenses between unallocated corporate and segments                   13,200  
Special charges                 41,300 35,300  
Property and equipment, gross $ 211,842       $ 199,239       211,842 199,239 191,924
Expenditures for property and equipment                 $ 12,443 $ 10,042 $ 12,458