Revenue (Disaggregation of Revenue) (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 03, 2021	Sep. 27, 2020	Sep. 29, 2019
Disaggregation of Revenue [Line Items]
Total revenue	$ 1,143,670	$ 1,021,506	$ 950,107
Company restaurant sales
Disaggregation of Revenue [Line Items]
Total revenue	387,766	348,987	336,807
Franchise rental revenues
Disaggregation of Revenue [Line Items]
Total revenue	346,634	320,647	272,815
Franchise royalties
Disaggregation of Revenue [Line Items]
Total revenue	193,908	171,407	163,047
Marketing fees
Disaggregation of Revenue [Line Items]
Total revenue	188,184	158,258	157,969
Technology and sourcing fees
Disaggregation of Revenue [Line Items]
Total revenue	16,361	15,295	12,705
Franchise fees and other services
Disaggregation of Revenue [Line Items]
Total revenue	$ 10,817	$ 6,912	$ 6,764