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Financial and capital risk management - Protection programs for the R and EUR denominated debt instruments and other liabilities (Details)
$ in Thousands, € in Millions, R$ in Millions
 12 Months Ended
Dec. 31, 2021
USD ($)
Dec. 31, 2020
USD ($)
Dec. 31, 2019
USD ($)
Dec. 31, 2021
BRL (R$)
Dec. 31, 2020
BRL (R$)
Dec. 31, 2020
EUR (€)
Derivative financial instruments.            
Financial settlement inflows (outflows) $ (197,000) $ (34,000) $ (324,000)      
CDI vs US$ fixed rate swap            
Derivative financial instruments.            
Notional amount | R$         R$ 9,445  
Receivable | R$       R$ 8,142    
Payable $ 1,906,000 2,213,000        
Average receivable rate 100.40%     100.40%    
Average payable rate 2.54%     2.54%    
Fair value of liabilities $ (461,000) (473,000)        
Financial settlement inflows (outflows) (65,000)          
Value at risk 40,000          
CDI vs US$ fixed rate swap | 2022.            
Derivative financial instruments.            
Fair value of liabilities (105,000)          
CDI vs US$ fixed rate swap | 2023.            
Derivative financial instruments.            
Fair value of liabilities (64,000)          
CDI vs US$ fixed rate swap | 2022+            
Derivative financial instruments.            
Fair value of liabilities (292,000)          
TJLP vs. US$ fixed rate swap            
Derivative financial instruments.            
Notional amount | R$         1,651  
Receivable | R$       R$ 1,192    
Payable $ 320,000 460,000        
Average receivable rate 1.10%     1.10%    
Average payable rate 3.19%     3.19%    
Fair value of liabilities $ (130,000) (163,000)        
Financial settlement inflows (outflows) (52,000)          
Value at risk 6,000          
TJLP vs. US$ fixed rate swap | 2022.            
Derivative financial instruments.            
Fair value of liabilities (46,000)          
TJLP vs. US$ fixed rate swap | 2023.            
Derivative financial instruments.            
Fair value of liabilities (13,000)          
TJLP vs. US$ fixed rate swap | 2022+            
Derivative financial instruments.            
Fair value of liabilities (71,000)          
RD fixed rate vs. USD fixed rate swap            
Derivative financial instruments.            
Notional amount | R$         2,512  
Receivable | R$       R$ 5,730    
Payable $ 1,084,000 621,000        
Average receivable rate 3.82%     3.82%    
Average payable rate 1.58%     1.58%    
Fair value of liabilities $ 62,000 (111,000)        
Financial settlement inflows (outflows) (87,000)          
Value at risk 22,000          
RD fixed rate vs. USD fixed rate swap | 2022.            
Derivative financial instruments.            
Fair value of liabilities (51,000)          
RD fixed rate vs. USD fixed rate swap | 2023.            
Derivative financial instruments.            
Fair value of liabilities (6,000)          
RD fixed rate vs. USD fixed rate swap | 2022+            
Derivative financial instruments.            
Fair value of liabilities (5,000)          
IPCA vs. USD fixed rate swap            
Derivative financial instruments.            
Notional amount | R$         2,363  
Receivable | R$       R$ 1,508    
Payable $ 373,000 622,000        
Average receivable rate 4.54%     4.54%    
Average payable rate 3.88%     3.88%    
Fair value of liabilities $ (118,000) (173,000)        
Financial settlement inflows (outflows) (57,000)          
Value at risk 8,000          
IPCA vs. USD fixed rate swap | 2022.            
Derivative financial instruments.            
Fair value of liabilities (5,000)          
IPCA vs. USD fixed rate swap | 2023.            
Derivative financial instruments.            
Fair value of liabilities (13,000)          
IPCA vs. USD fixed rate swap | 2022+            
Derivative financial instruments.            
Fair value of liabilities $ (100,000)          
IPCA vs. CDI swap            
Derivative financial instruments.            
Notional amount | R$         694  
Receivable | R$       R$ 769    
Payable | R$       R$ 1,350 550  
Average receivable rate 6.63%     6.63%    
Average payable rate 98.76%     98.76%    
Fair value of liabilities $ 40,000 45,000        
Financial settlement inflows (outflows) 7,000          
IPCA vs. CDI swap | 2022.            
Derivative financial instruments.            
Fair value of liabilities $ 40,000          
EUR fixed rate vs. US$ fixed rate swap            
Derivative financial instruments.            
Notional amount | €           € 500
Payable   613,000        
Average receivable rate 0.00%     0.00%    
Average payable rate 0.00%     0.00%    
Fair value of liabilities   (1,000)        
Financial settlement inflows (outflows) $ (29,000)          
Forward            
Derivative financial instruments.            
Payable | R$       R$ 6,013 R$ 916  
Average payable rate 5.57%     5.57%    
Fair value of liabilities $ (4,000) $ (1,000)        
Financial settlement inflows (outflows) 15,000          
Value at risk 20,000          
Forward | 2022.            
Derivative financial instruments.            
Fair value of liabilities 15,000          
Forward | 2023.            
Derivative financial instruments.            
Fair value of liabilities (9,000)          
Forward | 2022+            
Derivative financial instruments.            
Fair value of liabilities $ (10,000)