Summary of Refranchisings and Franchise Acquisitions (Purchase Price Allocations on Franchise Acquisitions) (Details) $ in Thousands	12 Months Ended
	Oct. 01, 2023 USD ($) restaurant	Oct. 02, 2022 USD ($) restaurant	Oct. 03, 2021 USD ($) restaurant
Summary Of Refranchisings, Franchisee Development And Acquisitions [Line Items]
Number of restaurants acquired from franchisees | restaurant	0	13	20
Goodwill	$ 329,986	$ 366,821	$ 47,774
Gains on the acquisition of franchise-operated restaurants		(309)	(340)
Franchise Acquisitions
Summary Of Refranchisings, Franchisee Development And Acquisitions [Line Items]
Inventory		0	258
Property and equipment		540	1,136
Intangible assets		66	245
Other assets		0	10
Goodwill		0	613
Liabilities assumed		0	(277)
Total consideration		$ 297	$ 1,645