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Related party transaction (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Related Party Transaction [Line Items]                      
Ceded Premiums Written                 $ 7,849 $ 7,389 $ 7,132
Losses and loss expenses $ 4,865 $ 5,052 $ 4,715 $ 4,098 $ 4,610 $ 4,868 $ 4,487 $ 4,102 18,730 18,067 18,454
Reinsurance recoverable on losses and loss expenses 15,181       15,993       15,181 15,993  
Insurance and reinsurance balances payable 6,184       6,437       6,184 6,437  
Net premiums written                 32,275 30,579 29,244
Starr Technical Risk Agency and Affiliates [Member]                      
Related Party Transaction [Line Items]                      
Premiums Written, Gross                 394 411 464
Ceded Premiums Written                 207 188 175
Paid commissions                 77 84 101
Commissions received                 46 42 37
Losses and loss expenses                 185 188 438
Reinsurance recoverable on losses and loss expenses 440       514       440 514  
Insurance and reinsurance balances payable 56       75       56 75  
Minimum Amount of Program Business to be Written to Earn Profit Sharing                 20    
ABR Reinsurance Capital Holdings Ltd. [Member]                      
Related Party Transaction [Line Items]                      
Ceded Premiums Written                 321 329 342
Commissions received                 92 96 $ 94
Reinsurance recoverable on losses and loss expenses 674       557       674 557  
Insurance and reinsurance balances payable $ 62       $ 47       $ 62 $ 47  
Ownership Percentage 12.20%               12.20%    
Warrants & Rights Outstanding 0.50%               0.50%