Revenue (Contract Liabilities) (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 02, 2022	Oct. 03, 2021
Movement in Deferred Revenue [Roll Forward]
Deferred franchise and development fees at beginning of period	$ 41,520	$ 43,816
Changes due to business combinations	6,193	0
Revenue recognized during the period	(5,891)	(6,014)
Additions during the period	4,627	3,718
Deferred franchise and development fees at end of period	$ 46,449	$ 41,520