Segment Information - Reconciliation of Segment Results to Company Results (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 29, 2024	Dec. 31, 2023	Dec. 25, 2022
Segment Reporting Information [Line Items]
Total revenues	$ 2,059,387	$ 2,135,713	$ 2,102,103
Other income/(expense) adjustments	8,521	(9,883)	(48,432)
Operating income	156,704	147,142	109,030
Net interest expense	(42,578)	(43,469)	(25,261)
Income before income taxes	114,126	103,673	83,769
Gain on sale of QC Center properties (See Note 22)	41,289	0	0
International restructuring costs (See Note 16)	(27,273)	(2,178)	0
Refranchising and impairment losses	(5,495)	0	(26,702)
UK repositioning and acquisition-related costs	0	(4,243)	(5,223)
Legal settlements	0	(577)	(15,000)
Other costs	0	(2,885)	(1,507)
Total adjustments	8,521	(9,883)	(48,432)
Disposal group, disposed of by sale, not discontinued operations | Domestic QC Centers
Segment Reporting Information [Line Items]
Gain on sale of QC Center properties (See Note 22)	41,300
Operating Segments
Segment Reporting Information [Line Items]
Total revenues	2,047,039	2,120,641	2,095,796
Adjusted operating income	195,172	229,641	222,326
All Other
Segment Reporting Information [Line Items]
Total revenues	279,385	296,440	298,282
Adjusted operating income	4,065	10,116	10,084
Unallocated corporate expenses
Segment Reporting Information [Line Items]
Adjusted operating income	(51,054)	(82,759)	(74,043)
Intersegment Eliminations
Segment Reporting Information [Line Items]
Total revenues	(267,037)	(281,368)	(291,975)
Adjusted operating income	$ 0	$ 27	$ (905)