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Related party transactions (Schedule of related party transactions) (Details) - USD ($) $ in Millions | 12 Months Ended
--- | ---
Dec. 31, 2022 | Dec. 31, 2021 | Dec. 31, 2020
Related Party Transaction [Line Items] |  |  |
Ceded Premiums Written | $ 10,258 | $ 8,912 | $ 7,441
Losses and loss expenses | 23,342 | 21,980 | 21,710
Insurance and reinsurance balances payable | 7,795 | 7,243 |
Other (income) expense | 74 | (2,365) | (994)
Other Investments | $ 13,696 | $ 11,169 |
Bermuda | ABR Reinsurance Capital Holdings Ltd. [Member] |  |  |
Related Party Transaction [Line Items] |  |  |
Ownership Percentage | 19.00% | 17.00% |
Bermuda | ABR Reinsurance Capital Holdings Ltd. [Member] | ABR Reinsurance Capital Holdings Ltd. [Member] |  |  |
Related Party Transaction [Line Items] |  |  |
Ownership Percentage | 18.80% |  |
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 | 618 | $ 592 | 507
Ceded Premiums Written | 353 | 321 | 253
Paid commissions | 122 | 114 | 97
Commissions received | 79 | 73 | 59
Losses and loss expenses | 225 | 157 | 170
Reinsurance Recoverable on Losses and Loss Expenses | 541 | 516 |
Insurance and reinsurance balances payable | 96 | 88 |
ABR Reinsurance Capital Holdings Ltd. [Member] |  |  |
Related Party Transaction [Line Items] |  |  |
Ceded Premiums Written | 507 | 442 | 350
Commissions received | 138 | 133 | 100
Reinsurance Recoverable on Losses and Loss Expenses | 1,050 | 963 |
Insurance and reinsurance balances payable | $ 110 | 107 |
Warrants & Rights Outstanding | 0.50% |  |
BlackRock, Inc. |  |  |
Related Party Transaction [Line Items] |  |  |
Revenue from Related Parties | $ 7 | 11 | 3
Aquiline Capital Partners LLC |  |  |
Related Party Transaction [Line Items] |  |  |
Investment Company, Financial Commitment to Investee, Future Amount | 267 |  |
Other (income) expense | 8 | 68 | $ 2
Other Investments | $ 271 | $ 245 |

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