Leases (Rental Income) (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 01, 2023	Oct. 02, 2022	Oct. 03, 2021
Lessor, Lease, Description [Line Items]
Operating Lease, Lease Income, Statement of Income or Comprehensive Income [Extensible Enumeration]	Revenues	Revenues
Amortization of sublease assets and liabilities, net	$ (1,633)	$ (1,120)	$ 0
Operating lease income - closed restaurants and other	7,463	6,407
Owned Properties
Lessor, Lease, Description [Line Items]
Operating lease income - closed restaurants and other	76	60
Leased Properties
Lessor, Lease, Description [Line Items]
Operating lease income - closed restaurants and other	7,387	6,347
Franchise contracts
Lessor, Lease, Description [Line Items]
Operating lease income - franchise	243,197	231,773
Variable lease income - franchise	120,710	108,420
Amortization of sublease assets and liabilities, net	684	198
Franchise rental revenues	364,591	340,391
Franchise contracts | Owned Properties
Lessor, Lease, Description [Line Items]
Operating lease income - franchise	17,805	19,221
Variable lease income - franchise	12,700	12,418
Amortization of sublease assets and liabilities, net	0	0
Franchise rental revenues	30,505	31,639
Franchise contracts | Leased Properties
Lessor, Lease, Description [Line Items]
Operating lease income - franchise	225,392	212,552
Variable lease income - franchise	108,010	96,002
Amortization of sublease assets and liabilities, net	684	198
Franchise rental revenues	$ 334,086	$ 308,752