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Related party transaction (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Related Party Transaction [Line Items]      
Ceded Premiums Written $ 8,912 $ 7,441 $ 7,849
Losses and loss expenses 21,980 21,710 18,730
Insurance and reinsurance balances payable $ 7,243 $ 6,708  
Bermuda | ABR Reinsurance Capital Holdings Ltd. [Member]      
Related Party Transaction [Line Items]      
Ownership Percentage 17.10% 16.00%  
Starr Technical Risk Agency and Affiliates [Member]      
Related Party Transaction [Line Items]      
Minimum Amount of Program Business to be Written to Earn Profit Sharing $ 20    
Premiums Written, Gross 592 $ 507 394
Ceded Premiums Written 321 253 207
Paid commissions 114 97 77
Commissions received 73 59 46
Losses and loss expenses 157 170 185
Reinsurance Recoverable on Losses and Loss Expenses 516 432  
Insurance and reinsurance balances payable 88 80  
ABR Reinsurance Capital Holdings Ltd. [Member]      
Related Party Transaction [Line Items]      
Ceded Premiums Written 442 350 321
Commissions received 133 100 $ 92
Reinsurance Recoverable on Losses and Loss Expenses 963 806  
Insurance and reinsurance balances payable $ 107 $ 67  
Warrants & Rights Outstanding 0.50%    
BlackRock, Inc.      
Related Party Transaction [Line Items]      
Revenue from Related Parties $ 11