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Net intangible assets and goodwill
 12 Months Ended
Dec. 31, 2024
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:
 20242023
Net intangible assets (i)  
Computer software cost$130,858 $129,581 
Initial franchise fees16,101 17,671 
Reacquired franchised rights20,911 21,270 
Others— 940 
Total cost167,870 169,462 
Total accumulated amortization(114,567)(111,333)
Subtotal53,303 58,129 
Goodwill (ii)20242023
Brazil7,166 4,876 
Chile3,273 3,755 
Mexico1,562 1,916 
Argentina1,276 1,276 
Colombia64 74 
Subtotal13,341 11,897 
 $66,644 $70,026 

(i)Total amortization expense for fiscal years 2024, 2023 and 2022 amounted to $23,819, $18,683 and $12,497, respectively. The estimated aggregate amortization expense for each of the five succeeding fiscal years and thereafter is as follows: $23,028 for 2025, $16,653 for 2026; $11,736 for 2027; $822 for 2028; $405 for 2029; and thereafter $659.
(ii)Related to the acquisition of franchised restaurants and non-controlling interests.