Cash and Receivables Accounts and Notes Receivable (Details) - USD ($) $ in Thousands	Dec. 31, 2023	Jan. 01, 2023
Accounts, Notes, Loans and Financing Receivable
Accounts receivable, gross, current	$ 106,335	$ 100,270
Accounts receivable, allowance for doubtful accounts, current	(1,538)	(1,707)
Accounts receivable, net, current	104,797	98,563
Notes receivable from franchisees, gross, current	18,035	22,503
Notes receivable from franchisees, allowance for doubtful accounts, current	(1,149)	(4,640)
Notes receivable from franchisees, net, current	16,886	17,863
Accounts and notes receivable, gross, current	124,370	122,773
Accounts and notes receivable, allowance for doubtful accounts, current	(2,687)	(6,347)
Accounts and notes receivable, net, current	121,683	116,426
Notes receivable from franchisees, gross, noncurrent	0	3,888
Notes receivable from franchisees, allowance for doubtful accounts, noncurrent	0	0
Notes receivable from franchisees, net, noncurrent	0	3,888
Accounts and Notes Receivable, Net
Accounts, Notes, Loans and Financing Receivable
Income taxes receivable	5,284	3,236
Insurance for legal settlements receivable	17,460
Sales-type and direct financing leases, lease receivable	10,779	8,263
Indonesia franchisee
Accounts, Notes, Loans and Financing Receivable
Notes receivable from franchisees, gross, current	394	1,153
Brazil JV
Accounts, Notes, Loans and Financing Receivable
Notes receivable from franchisees, gross, current	6,837	13,087
Notes receivable from franchisees, allowance for doubtful accounts, current	$ (1,149)	(4,640)
Notes receivable from franchisees, gross, noncurrent		$ 3,888