Segment Information - Schedule of Segment Information (Details) $ in Thousands		3 Months Ended		6 Months Ended	9 Months Ended
	Sep. 30, 2024 franchise	Sep. 29, 2024 USD ($)	Sep. 24, 2023 USD ($)	Sep. 29, 2024 USD ($) franchise	Sep. 29, 2024 USD ($)	Sep. 24, 2023 USD ($)	Dec. 31, 2023 USD ($)
Segment Reporting Information [Line Items]
Total revenues		$ 506,807	$ 522,812		$ 1,528,617	$ 1,564,391
Total operating income		65,229	31,868		127,173	104,576
Accumulated depreciation and amortization		(565,678)		$ (565,678)	(565,678)
Total property and equipment, net		266,508		$ 266,508	266,508		$ 282,812
Non-cash impairment charges related to fixed and intangible assets					17,433	0
Gain on sale-leaseback		41,300			41,300
Disposal Group, Disposed of by Sale, Not Discontinued Operations | Subsequent Event
Segment Reporting Information [Line Items]
Number of franchises sold | franchise	15
International Transformation Plan
Segment Reporting Information [Line Items]
Number of franchises sold | franchise				60
Restructuring related costs		3,862			19,514
Domestic Company-owned restaurants
Segment Reporting Information [Line Items]
Total revenues		168,672	177,195		518,103	532,841
North America franchising
Segment Reporting Information [Line Items]
Total revenues		33,831	35,041		103,937	105,824
North America commissaries
Segment Reporting Information [Line Items]
Total revenues		210,389	204,887		611,873	624,433
International
Segment Reporting Information [Line Items]
Total revenues		33,024	42,927		113,433	108,998
All others
Segment Reporting Information [Line Items]
Total revenues		60,891	62,762		181,271	192,295
Operating segments
Segment Reporting Information [Line Items]
Total revenues		506,807	522,812		1,528,617	1,564,391
Operating segments | Domestic Company-owned restaurants
Segment Reporting Information [Line Items]
Total revenues		168,672	177,195		518,103	532,841
Total operating income		(1,748)	6,147		13,388	19,438
Property and equipment, gross		265,002		$ 265,002	265,002
Non-cash impairment charges related to fixed and intangible assets		1,500			5,500
Operating segments | North America franchising
Segment Reporting Information [Line Items]
Total revenues		33,831	35,041		103,937	105,824
Total operating income		31,865	32,234		97,985	97,745
Operating segments | North America commissaries
Segment Reporting Information [Line Items]
Total revenues		210,389	204,887		611,873	624,433
Total operating income		53,599	10,691		77,337	31,818
Property and equipment, gross		150,527		150,527	150,527
Operating segments | International
Segment Reporting Information [Line Items]
Total revenues		39,098	48,481		132,318	128,539
Total operating income		42	2,270		(8,612)	13,265
Property and equipment, gross		26,902		26,902	26,902
Re-positioning and transaction costs			1,200			2,500
Operating segments | International | International Transformation Plan
Segment Reporting Information [Line Items]
Restructuring related costs		3,900			19,500
Operating segments | All others
Segment Reporting Information [Line Items]
Total revenues		54,817	57,208		162,386	172,754
Total operating income		2,834	2,379		8,202	6,879
Property and equipment, gross		140,900		140,900	140,900
Eliminations
Segment Reporting Information [Line Items]
Total revenues		(66,546)	(68,457)		(195,156)	(207,120)
Total operating income		(257)	(1,061)		(781)	(710)
Eliminations | North America franchising
Segment Reporting Information [Line Items]
Total revenues		(1,011)	(1,040)		(3,101)	(3,117)
Eliminations | North America commissaries
Segment Reporting Information [Line Items]
Total revenues		(52,063)	(51,237)		(151,633)	(154,640)
Eliminations | International
Segment Reporting Information [Line Items]
Total revenues		0	0		0	0
Eliminations | All others
Segment Reporting Information [Line Items]
Total revenues		(13,472)	(16,180)		(40,422)	(49,363)
Unallocated corporate expenses
Segment Reporting Information [Line Items]
Total operating income		(21,106)	(20,792)		(60,346)	(63,859)
Property and equipment, gross		$ 248,855		$ 248,855	$ 248,855
Severance and related costs						2,000
Legal settlements			$ 600			$ 600