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Income taxes - Changes in deferred tax (Details) - USD ($)
$ in Millions
 12 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Total      
Balance at beginning of period $ 8,565 $ 7,335  
Effect in income statement 966 2,663 $ 2,117
Translation adjustment (636) (1,774)  
Other comprehensive income (156) 44  
Tax loss carryforward from coal operations 821 297  
Balance at end of period 9,560 8,565 7,335
Assets      
Balance at beginning of period 10,335 9,217  
Effect in income statement 1,104 2,555  
Transfers between asset and liabilities (155) 38  
Translation adjustment (649) (1,811)  
Other comprehensive income (15) 39  
Tax loss carryforward from coal operations 821 297  
Balance at end of period 11,441 10,335 9,217
Liabilities      
Balance at beginning of period 1,770 1,882  
Effect in income statement 138 (108)  
Transfers between asset and liabilities (155) 38  
Translation adjustment (13) (37)  
Other comprehensive income 141 (5)  
Balance at end of period $ 1,881 1,770 $ 1,882
Limitation of tax loss carryforward in Brazil, as percent of taxable income 30.00%    
Tax lossses carryforward      
Total      
Balance at beginning of period $ 4,328    
Effect in income statement 830 77  
Balance at end of period 5,757 4,328  
Assets      
Effect in income statement 830 77  
Employee post retirement obligations      
Total      
Balance at beginning of period 744    
Balance at end of period 504 744  
Provision For litigation      
Total      
Balance at beginning of period 356    
Balance at end of period 346 356  
Timing differences arising from assets and liabilities      
Total      
Balance at beginning of period 4,331    
Effect in income statement 226 1,690  
Balance at end of period 4,384 4,331  
Assets      
Effect in income statement 226 1,690  
Fair value of financial instruments      
Total      
Balance at beginning of period 1,355    
Effect in income statement 75 756  
Balance at end of period 1,373 1,355  
Assets      
Effect in income statement 75 756  
Allocated goodwill      
Total      
Balance at beginning of period (2,623)    
Effect in income statement (138) 108  
Balance at end of period (2,857) (2,623)  
Liabilities      
Effect in income statement 138 (108)  
Other Temporary Differences      
Total      
Balance at beginning of period 74    
Effect in income statement (27) 32  
Balance at end of period 53 74  
Assets      
Effect in income statement (27) 32  
Temporary differences      
Total      
Balance at beginning of period 4,237    
Balance at end of period $ 3,803 $ 4,237