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Related party transaction (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Related Party Transaction [Line Items]      
Ceded Premiums Written $ 7,441 $ 7,849 $ 7,389
Losses and loss expenses 21,710 18,730 18,067
Insurance and reinsurance balances payable 6,708 6,184  
Net premiums written $ 33,820 $ 32,275 30,579
Bermuda | ABR Reinsurance Capital Holdings Ltd. [Member]      
Related Party Transaction [Line Items]      
Ownership Percentage 15.60% 12.00%  
Starr Technical Risk Agency and Affiliates [Member]      
Related Party Transaction [Line Items]      
Premiums Written, Gross $ 507 $ 394 411
Ceded Premiums Written 253 207 188
Paid commissions 97 77 84
Commissions received 59 46 42
Losses and loss expenses 170 185 188
Reinsurance Recoverable on Losses and Loss Expenses 432 440  
Insurance and reinsurance balances payable 80 56  
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 350 321 329
Commissions received 100 92 $ 96
Reinsurance Recoverable on Losses and Loss Expenses 806 674  
Insurance and reinsurance balances payable $ 67 $ 62  
Warrants & Rights Outstanding 0.50%