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Segment Information - Schedule of Segment Reporting Information, by Segment (Details) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
Dec. 27, 2020
Sep. 27, 2020
Jun. 28, 2020
Mar. 29, 2020
Dec. 29, 2019
Sep. 29, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 27, 2020
Dec. 29, 2019
Dec. 30, 2018
Segment Information                      
Total revenues $ 469,811 $ 472,941 $ 460,623 $ 409,859 $ 417,514 $ 403,706 $ 399,623 $ 398,405 $ 1,813,234 $ 1,619,248 $ 1,662,871
Depreciation and amortization                 49,705 47,281 46,403
Operating income 19,698 $ 24,549 $ 30,534 $ 15,472 (132) $ 4,927 $ 14,231 $ 5,509 90,253 24,535 31,553
Refranchising gains (losses), net                   4,739 (289)
Property and equipment, gross 692,515       676,406       692,515 676,406  
Accumulated depreciation and amortization (491,620)       (464,665)       (491,620) (464,665) (438,278)
Property and equipment, net 200,895       211,741       200,895 211,741 226,894
Expenditures for property and equipment                 35,652 37,711 42,028
China Operations                      
Segment Information                      
Refranchising loss                     1,900
Domestic Company-owned restaurants                      
Segment Information                      
Total revenues                 700,757 652,053 692,380
Refranchising gains (losses), net                   4,700 1,600
North America franchising                      
Segment Information                      
Total revenues                 96,732 71,828 79,293
North America commissaries                      
Segment Information                      
Total revenues                 680,793 612,652 609,866
International                      
Segment Information                      
Total revenues                 123,963 102,924 110,349
All others                      
Segment Information                      
Total revenues                 210,989 179,791 170,983
Operating segments                      
Segment Information                      
Total revenues                 1,813,234 1,619,248 1,662,871
Operating segments | Domestic Company-owned restaurants                      
Segment Information                      
Total revenues                 700,757 652,053 692,380
Depreciation and amortization                 11,905 12,883 15,411
Operating income                 37,049 33,957 18,988
Property and equipment, gross 228,077       221,420       228,077 221,420 236,526
Expenditures for property and equipment                 12,848 8,811 13,568
Operating segments | North America franchising                      
Segment Information                      
Total revenues                 96,732 71,828 79,293
Operating income                 89,801 64,362 70,732
Operating segments | North America commissaries                      
Segment Information                      
Total revenues                 680,793 612,652 609,866
Depreciation and amortization                 9,660 8,131 7,397
Operating income                 33,185 30,690 27,961
Property and equipment, gross 145,282       142,946       145,282 142,946 140,309
Expenditures for property and equipment                 4,447 3,773 3,994
Operating segments | International                      
Segment Information                      
Total revenues                 150,939 126,077 131,268
Depreciation and amortization                 1,975 1,722 1,696
Operating income                 24,034 18,738 14,203
Property and equipment, gross 13,604       16,031       13,604 16,031 17,218
Expenditures for property and equipment                 1,065 1,143 986
Operating segments | All others                      
Segment Information                      
Total revenues                 184,013 156,638 150,064
Depreciation and amortization                 10,254 10,738 8,513
Operating income                 7,043 (1,966) (5,716)
Property and equipment, gross 91,724       84,167       91,724 84,167 71,880
Expenditures for property and equipment                 11,700 11,541 13,438
Elimination                      
Segment Information                      
Total revenues                 (279,196) (278,332) (276,639)
Operating income                 (790) (966) (1,005)
Elimination | North America franchising                      
Segment Information                      
Total revenues                 (3,229) (2,782) (2,965)
Elimination | North America commissaries                      
Segment Information                      
Total revenues                 (192,332) (187,073) (201,325)
Elimination | International                      
Segment Information                      
Total revenues                   (191) (283)
Elimination | All others                      
Segment Information                      
Total revenues                 (83,635) (88,286) (72,066)
Unallocated corporate                      
Segment Information                      
Depreciation and amortization                 15,911 13,807 13,386
Operating income                 (100,069) (120,280) (93,610)
Special charges                   14,200 25,300
Property and equipment, gross $ 213,828       $ 211,842       213,828 211,842 199,239
Expenditures for property and equipment                 $ 5,592 $ 12,443 $ 10,042