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Shareholders' Equity and Redeemable Non-controlling Interests, Shareholders' Equity, Share repurchase authorization (Details) - USD ($)
$ / shares in Units, $ in Millions
1 Months Ended 9 Months Ended
May 31, 2020
Jul. 31, 2019
Sep. 30, 2020
Sep. 30, 2019
Share repurchase authorization [Line Items]        
Shares repurchased (in shares)     50,685 42,681,494
Average purchase price (in dollars per share)     $ 78.93 $ 87.35
Repurchase of Company ordinary shares     $ 4 $ 3,728
Cash paid for shares repurchased     $ 4 $ 3,752
May 2020 Share Repurchase Authorization [Member]        
Share repurchase authorization [Line Items]        
Share repurchase authorization shares authorized to be repurchased 34,000,000.0      
Share repurchase authorization expiration date Nov. 29, 2021      
Shares repurchased (in shares)     0  
Average purchase price (in dollars per share)     $ 0  
Repurchase of Company ordinary shares     $ 0  
June 2019 LYB Modified Dutch Auction Tender Offer [Member]        
Share repurchase authorization [Line Items]        
Shares repurchased (in shares)   35,100,000    
Repurchase of Company ordinary shares   $ 3,099    
Tender offer fees   $ 6    
Sept 2019 Share Repurchase Authorization [Member]        
Share repurchase authorization [Line Items]        
Shares repurchased (in shares)     50,685  
Average purchase price (in dollars per share)     $ 78.93  
Repurchase of Company ordinary shares     $ 4  
June 2018 Share Repurchase Authorization [Member]        
Share repurchase authorization [Line Items]        
Shares repurchased (in shares)       5,648,900
Average purchase price (in dollars per share)       $ 86.38
Repurchase of Company ordinary shares       $ 488
May 2019 Share Repurchase Authorization        
Share repurchase authorization [Line Items]        
Shares repurchased (in shares)       37,032,594
Average purchase price (in dollars per share)       $ 87.50
Repurchase of Company ordinary shares       $ 3,240