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Net intangible assets and goodwill (Details) - USD ($)
$ in Thousands
 12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Finite-Lived Intangible Assets [Line Items]      
Total cost $ 169,462 $ 135,926  
Total accumulated amortization (111,333) (88,584)  
Subtotal 58,129 47,342  
Goodwill 11,897 7,227  
Net intangible assets including goodwill 70,026 54,569  
Total amortization expense 18,683 12,497 $ 10,932
Estimated aggregate amortization expense for 2024 29,359    
Estimated aggregate amortization expense for 2025 18,357    
Estimated aggregate amortization expense for 2026 5,030    
Estimated aggregate amortization expense for 2027 3,379    
Estimated aggregate amortization expense for 2028 649    
Estimated aggregate amortization expense for thereafter 1,355    
Brazil      
Finite-Lived Intangible Assets [Line Items]      
Goodwill 4,876 4,018  
Argentina      
Finite-Lived Intangible Assets [Line Items]      
Goodwill 1,276 1,276  
Mexico      
Finite-Lived Intangible Assets [Line Items]      
Goodwill 1,916 1,000  
Chile      
Finite-Lived Intangible Assets [Line Items]      
Goodwill 3,755 874  
Colombia      
Finite-Lived Intangible Assets [Line Items]      
Goodwill 74 59  
Computer software cost      
Finite-Lived Intangible Assets [Line Items]      
Total cost 129,581 102,421  
Initial franchise fees      
Finite-Lived Intangible Assets [Line Items]      
Total cost 17,671 14,804  
Reacquired franchised rights      
Finite-Lived Intangible Assets [Line Items]      
Total cost 21,270 16,761  
Others      
Finite-Lived Intangible Assets [Line Items]      
Total cost $ 940 $ 1,940