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Net intangible assets and goodwill
 12 Months Ended
Dec. 31, 2022
Goodwill and Intangible Assets Disclosure [Abstract]  
Net intangible assets and goodwill Net intangible assets and goodwill
Net intangible assets and goodwill consist of the following at year-end:

 20222021
Net intangible assets (i)  
Computer software cost$102,421 $79,054 
Initial franchise fees14,804 13,652 
Reacquired franchised rights16,761 15,403 
Others1,940 1,940 
Total cost135,926 110,049 
Total accumulated amortization(88,584)(76,451)
Subtotal47,342 33,598 
Goodwill (ii)20222021
Brazil4,018 2,992 
Argentina1,276 1,276 
Mexico1,000 — 
Chile874 873 
Colombia59 69 
Subtotal7,227 5,210 
 $54,569 $38,808 

(i)Total amortization expense for fiscal years 2022, 2021 and 2020 amounted to $12,497, $10,932 and $11,822, respectively. The estimated aggregate amortization expense for each of the five succeeding fiscal years and thereafter is as follows: $20,976 for 2023, $15,861 for 2024; $6,600 for 2025; $1,913 for 2026; $1,689 for 2027; and thereafter $303.
(ii)Related to the acquisition of franchised restaurants and non-controlling interests in Chile.