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Income taxes - Changes in deferred tax (Details) - USD ($)
$ in Millions
 12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Income Taxes    
Balance at beginning of period $ 11,441 $ 10,335
Balance at beginning of period 1,881 1,770
Balance at beginning of period 9,560 8,565
Taxes losses carryforward (68) 830
Taxes losses carryforward (68) 830
Asset retirement obligations and other provisions   226
Asset retirement obligations and other provisions   226
Fair value of financial instruments (634) 75
Fair value of financial instruments (634) 75
Fair value of property, plant and equipment in business combination (330) 138
Fair value of property, plant and equipment in business combination 330 (138)
Other (255) (27)
Other (255) (27)
Effect in income statement (1,281) 1,104
Effect in income statement (330) 138
Effect in income statement (951) 966
Transfers between assets and liabilities (136) (155)
Transfers between assets and liabilities (136) (155)
Translation adjustment 688 (649)
Translation adjustment (75) (13)
Translation adjustment 763 (636)
Other comprehensive income 58 (15)
Other comprehensive income 101 141
Other comprehensive income (43) (156)
Tax loss carryforward from coal operations   821
Tax loss carryforward from coal operations   821
Timing differences arising from assets and liabilities (324)  
Timing differences arising from assets and liabilities (324)  
Sale of California Steel Industries (28)  
Sale of California Steel Industries 28  
Balance at ending of period 10,770 11,441
Balance at ending of period 1,413 1,881
Balance at ending of period $ 9,357 $ 9,560