Revenue (Contract Liabilities) (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 01, 2023	Oct. 02, 2022
Movement in Deferred Revenue [Roll Forward]
Deferred franchise and development fees at beginning of period	$ 46,449	$ 41,520
Changes due to business combinations	0	6,193
Revenue recognized during the period	(5,469)	(5,891)
Additions during the period	9,494	4,627
Deferred franchise and development fees at end of period	$ 50,474	$ 46,449