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Current and deferred income tax (Details) - USD ($)
$ in Thousands
 12 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Dec. 31, 2022
Current And Deferred Income Tax      
(Loss) income before income tax $ (71,851) $ (296,084) $ 227,971
Luxembourg statutory income tax rate 24.94% 24.94% 24.94%
Expected income tax benefit (expense) at statutory rate $ 17,920 $ 73,843 $ (56,856)
ICMS tax incentives permanent difference 10,995 19,277
Tax effects of translation of non-monetary assets/liabilities to functional currency (1,323) 13,686 6,279
 Withholding tax on dividends paid by subsidiaries (5,263)
Impairment loss of goodwill (12,585) (18,247)
Special mining levy and special mining tax (7,868) (5,366) (13,321)
Difference in tax rate of subsidiaries outside Luxembourg 12,591 24,665 (10,373)
Tax voluntary disclosure – VAT matters (i) (2,403) (29,548)
Unrecognized deferred tax on net operating losses (ii) (25,515) (52,091) (66,069)
Adjustment to uncertain income tax (iii) (94,764) (5,194) (3,866)
Other permanent tax differences (14,194) (14,131) (2,544)
Income tax (expense) benefit (115,556) 4,274 (150,983)
 Current   (205,674) (80,935) (150,735)
 Deferred   90,118 85,209 (248)
Income tax (expense) benefit $ (115,556) $ 4,274 $ (150,983)