Leases (Rental Income) (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 29, 2024	Oct. 01, 2023	Oct. 02, 2022
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	$ (516)	$ (1,633)	$ (1,120)
Operating lease income - closed restaurants and other	7,693	7,463
Owned Properties
Lessor, Lease, Description [Line Items]
Operating lease income - closed restaurants and other	31	76
Leased Properties
Lessor, Lease, Description [Line Items]
Operating lease income - closed restaurants and other	7,662	7,387
Franchise contracts
Lessor, Lease, Description [Line Items]
Operating lease income - franchise	260,412	243,197
Variable lease income - franchise	113,425	120,710
Amortization of sublease assets and liabilities, net	1,591	684
Franchise rental revenues	375,428	364,591
Franchise contracts | Owned Properties
Lessor, Lease, Description [Line Items]
Operating lease income - franchise	18,301	17,805
Variable lease income - franchise	12,522	12,700
Amortization of sublease assets and liabilities, net	0	0
Franchise rental revenues	30,823	30,505
Franchise contracts | Leased Properties
Lessor, Lease, Description [Line Items]
Operating lease income - franchise	242,111	225,392
Variable lease income - franchise	100,903	108,010
Amortization of sublease assets and liabilities, net	1,591	684
Franchise rental revenues	$ 344,605	$ 334,086