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Fair value measurements (Fair value hierarchy) (Details) - USD ($)
$ in Thousands
Sep. 30, 2016
Dec. 31, 2015
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value $ 5,576,341 $ 5,510,331
Short-term investments, at fair value 2,481,406 1,941,635
Other investments, at fair value 394,695 336,856
Total investments 8,452,442 7,788,822
Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Total investments 8,452,442 7,788,822
Recurring | Level 1    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Total investments 2,460,412 1,926,944
Recurring | Level 2    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Total investments 5,319,901 5,307,479
Recurring | Level 3    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Total investments 314,431 245,837
Managed investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 5,419,950 5,323,952
Short-term investments, at fair value 197,803 237,369
Other investments, at fair value 394,695 336,856
Total investments 6,012,448 5,898,177
Managed investments | U.S. government and government agency    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 837,546 937,202
Managed investments | Non-US government and government agency    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 248,390 237,968
Managed investments | U.S. states, municipalities and political subdivisions    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 283,361 301,289
Managed investments | Agency residential mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 657,876 610,582
Managed investments | Non-Agency residential mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 20,615 26,920
Managed investments | U.S. corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 1,526,677 1,489,951
Managed investments | Non-U.S. corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 431,632 446,570
Managed investments | Bank loans    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 587,537 576,211
Managed investments | Asset-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 485,519 437,124
Managed investments | Commercial mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 340,797 260,135
Managed investments | Fund of hedge funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 959 1,417
Managed investments | Hedge funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 18,056 20,980
Managed investments | Private equity investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 83,670 63,771
Managed investments | Fixed income investment funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 233,437 188,721
Managed investments | Overseas deposits    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 53,246 54,484
Managed investments | Mutual funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 5,327 7,483
Managed investments | Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 5,419,950 5,323,952
Short-term investments, at fair value 197,803 237,369
Other investments, at fair value 394,695 336,856
Total investments 6,012,448 5,898,177
Managed investments | Recurring | U.S. government and government agency    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 837,546 937,202
Managed investments | Recurring | Non-US government and government agency    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 248,390 237,968
Managed investments | Recurring | U.S. states, municipalities and political subdivisions    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 283,361 301,289
Managed investments | Recurring | Agency residential mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 657,876 610,582
Managed investments | Recurring | Non-Agency residential mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 20,615 26,920
Managed investments | Recurring | U.S. corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 1,526,677 1,489,951
Managed investments | Recurring | Non-U.S. corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 431,632 446,570
Managed investments | Recurring | Bank loans    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 587,537 576,211
Managed investments | Recurring | Asset-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 485,519 437,124
Managed investments | Recurring | Commercial mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 340,797 260,135
Managed investments | Recurring | Fund of hedge funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 959 1,417
Managed investments | Recurring | Hedge funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 18,056 20,980
Managed investments | Recurring | Private equity investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 83,670 63,771
Managed investments | Recurring | Fixed income investment funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 233,437 188,721
Managed investments | Recurring | Overseas deposits    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 53,246 54,484
Managed investments | Recurring | Mutual funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 5,327 7,483
Managed investments | Recurring | Level 1    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Short-term investments, at fair value 176,809 222,678
Other investments, at fair value 0 0
Total investments 176,809 222,678
Managed investments | Recurring | Level 1 | U.S. government and government agency    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Managed investments | Recurring | Level 1 | Non-US government and government agency    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Managed investments | Recurring | Level 1 | U.S. states, municipalities and political subdivisions    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Managed investments | Recurring | Level 1 | Agency residential mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Managed investments | Recurring | Level 1 | Non-Agency residential mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Managed investments | Recurring | Level 1 | U.S. corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Managed investments | Recurring | Level 1 | Non-U.S. corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Managed investments | Recurring | Level 1 | Bank loans    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Managed investments | Recurring | Level 1 | Asset-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Managed investments | Recurring | Level 1 | Commercial mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Managed investments | Recurring | Level 1 | Fund of hedge funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 0 0
Managed investments | Recurring | Level 1 | Hedge funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 0 0
Managed investments | Recurring | Level 1 | Private equity investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 0 0
Managed investments | Recurring | Level 1 | Fixed income investment funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 0 0
Managed investments | Recurring | Level 1 | Overseas deposits    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 0 0
Managed investments | Recurring | Level 1 | Mutual funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 0 0
Managed investments | Recurring | Level 2    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 5,143,554 5,091,615
Short-term investments, at fair value 20,994 14,691
Other investments, at fair value 36,997 28,294
Total investments 5,201,545 5,134,600
Managed investments | Recurring | Level 2 | U.S. government and government agency    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 837,546 937,202
Managed investments | Recurring | Level 2 | Non-US government and government agency    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 248,390 237,968
Managed investments | Recurring | Level 2 | U.S. states, municipalities and political subdivisions    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 283,361 301,289
Managed investments | Recurring | Level 2 | Agency residential mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 657,876 610,582
Managed investments | Recurring | Level 2 | Non-Agency residential mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 20,615 26,920
Managed investments | Recurring | Level 2 | U.S. corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 1,526,677 1,489,951
Managed investments | Recurring | Level 2 | Non-U.S. corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 431,632 446,570
Managed investments | Recurring | Level 2 | Bank loans    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 335,037 343,874
Managed investments | Recurring | Level 2 | Asset-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 461,623 437,124
Managed investments | Recurring | Level 2 | Commercial mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 340,797 260,135
Managed investments | Recurring | Level 2 | Fund of hedge funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 0 0
Managed investments | Recurring | Level 2 | Hedge funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 0 0
Managed investments | Recurring | Level 2 | Private equity investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 0 0
Managed investments | Recurring | Level 2 | Fixed income investment funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 31,670 20,811
Managed investments | Recurring | Level 2 | Overseas deposits    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 0 0
Managed investments | Recurring | Level 2 | Mutual funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 5,327 7,483
Managed investments | Recurring | Level 3    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 276,396 232,337
Short-term investments, at fair value 0 0
Other investments, at fair value 0 0
Total investments 276,396 232,337
Managed investments | Recurring | Level 3 | U.S. government and government agency    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Managed investments | Recurring | Level 3 | Non-US government and government agency    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Managed investments | Recurring | Level 3 | U.S. states, municipalities and political subdivisions    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Managed investments | Recurring | Level 3 | Agency residential mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Managed investments | Recurring | Level 3 | Non-Agency residential mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Managed investments | Recurring | Level 3 | U.S. corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Managed investments | Recurring | Level 3 | Non-U.S. corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Managed investments | Recurring | Level 3 | Bank loans    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 252,500 232,337
Managed investments | Recurring | Level 3 | Asset-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 23,896 0
Managed investments | Recurring | Level 3 | Commercial mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Managed investments | Recurring | Level 3 | Fund of hedge funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 0 0
Managed investments | Recurring | Level 3 | Hedge funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 0 0
Managed investments | Recurring | Level 3 | Private equity investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 0 0
Managed investments | Recurring | Level 3 | Fixed income investment funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 0 0
Managed investments | Recurring | Level 3 | Overseas deposits    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 0 0
Managed investments | Recurring | Level 3 | Mutual funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 0 0
Non-managed investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 156,391 186,379
Short-term investments, at fair value 2,283,603 1,704,266
Total investments 2,439,994 1,890,645
Non-managed investments | Catastrophe bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 156,391 186,379
Non-managed investments | Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Short-term investments, at fair value 2,283,603 1,704,266
Total investments 2,439,994 1,890,645
Non-managed investments | Recurring | Catastrophe bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 156,391 186,379
Non-managed investments | Recurring | Level 1    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Short-term investments, at fair value 2,283,603 1,704,266
Total investments 2,283,603 1,704,266
Non-managed investments | Recurring | Level 1 | Catastrophe bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Non-managed investments | Recurring | Level 2    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Short-term investments, at fair value 0 0
Total investments 118,356 172,879
Non-managed investments | Recurring | Level 2 | Catastrophe bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 118,356 172,879
Non-managed investments | Recurring | Level 3    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Short-term investments, at fair value 0 0
Total investments 38,035 13,500
Non-managed investments | Recurring | Level 3 | Catastrophe bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 38,035 13,500
Fair value based on NAV practical expedient | Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Total investments 357,698 308,562
Fair value based on NAV practical expedient | Managed investments | Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Short-term investments, at fair value 0 0
Other investments, at fair value 357,698 308,562
Total investments 357,698 308,562
Fair value based on NAV practical expedient | Managed investments | Recurring | U.S. government and government agency    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Fair value based on NAV practical expedient | Managed investments | Recurring | Non-US government and government agency    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Fair value based on NAV practical expedient | Managed investments | Recurring | U.S. states, municipalities and political subdivisions    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Fair value based on NAV practical expedient | Managed investments | Recurring | Agency residential mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Fair value based on NAV practical expedient | Managed investments | Recurring | Non-Agency residential mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Fair value based on NAV practical expedient | Managed investments | Recurring | U.S. corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Fair value based on NAV practical expedient | Managed investments | Recurring | Non-U.S. corporate    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Fair value based on NAV practical expedient | Managed investments | Recurring | Bank loans    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Fair value based on NAV practical expedient | Managed investments | Recurring | Asset-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Fair value based on NAV practical expedient | Managed investments | Recurring | Commercial mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value 0 0
Fair value based on NAV practical expedient | Managed investments | Recurring | Fund of hedge funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 959 1,417
Fair value based on NAV practical expedient | Managed investments | Recurring | Hedge funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 18,056 20,980
Fair value based on NAV practical expedient | Managed investments | Recurring | Private equity investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 83,670 63,771
Fair value based on NAV practical expedient | Managed investments | Recurring | Fixed income investment funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 201,767 167,910
Fair value based on NAV practical expedient | Managed investments | Recurring | Overseas deposits    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 53,246 54,484
Fair value based on NAV practical expedient | Managed investments | Recurring | Mutual funds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments, at fair value 0 0
Fair value based on NAV practical expedient | Non-managed investments | Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Short-term investments, at fair value 0 0
Total investments 0 0
Fair value based on NAV practical expedient | Non-managed investments | Recurring | Catastrophe bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturities, at fair value $ 0 $ 0