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Fair Value Measurements (Assets and Liabilities Measured at Fair Value on a Recurring Basis) (Details) - USD ($)
$ in Thousands
Mar. 31, 2022
Dec. 31, 2021
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments $ 13,029,085 $ 13,507,131
Short term investments 4,685,280 5,298,385
Equity investments trading 873,268 546,016
Other investments 2,182,479 1,993,059
Derivative assets 16,530 17,889
Derivative liabilities (40,423) (16,954)
Other assets 4,416 6,100
Other liabilities (8,515) (10,827)
Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 13,029,085 13,507,131
Short term investments 4,685,280 5,298,385
Equity investments trading 873,268 546,016
Other investments 2,182,479 1,993,059
Assumed and ceded (re)insurance contracts (4,099) (4,727)
Derivative assets 16,530 17,889
Derivative liabilities (40,423) (16,954)
Other liabilities (27,992) (3,792)
Total assets and (liabilities) measured at fair value on a recurring basis using Level 3 inputs 20,742,120 21,340,799
Fair Value, Inputs, Level 1, 2 and 3 | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments 1,398,236 1,267,257
Quoted Prices in Active Markets for Identical  Assets (Level 1) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 5,792,746 6,247,779
Short term investments 0 0
Equity investments trading 873,268 546,016
Other investments 0 0
Assumed and ceded (re)insurance contracts 0 0
Derivative assets 1,613 1,067
Derivative liabilities (4,843) (1,598)
Other liabilities (3,230) (531)
Total assets and (liabilities) measured at fair value on a recurring basis using Level 3 inputs 6,662,784 6,793,264
Significant Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 7,236,339 7,259,352
Short term investments 4,685,280 5,298,385
Equity investments trading 0 0
Other investments 1,233,023 1,104,034
Assumed and ceded (re)insurance contracts 0 0
Derivative assets 14,917 16,822
Derivative liabilities (35,580) (15,356)
Other assets   1,466
Other liabilities (20,663)  
Total assets and (liabilities) measured at fair value on a recurring basis using Level 3 inputs 13,133,979 13,663,237
Significant Unobservable Inputs (Level 3) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 0 0
Short term investments 0 0
Equity investments trading 0 0
Other investments 165,213 163,223
Assumed and ceded (re)insurance contracts (4,099) (4,727)
Derivative assets 0 0
Derivative liabilities 0 0
Other liabilities (4,099) (4,727)
Total assets and (liabilities) measured at fair value on a recurring basis using Level 3 inputs 161,114 158,496
Significant Unobservable Inputs (Level 3) | Other assets | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assumed and ceded (re)insurance contracts (4,400) (6,100)
Significant Unobservable Inputs (Level 3) | Other liabilities | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assumed and ceded (re)insurance contracts (8,500) (10,800)
U.S. treasuries | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 5,792,746 6,247,779
U.S. treasuries | Quoted Prices in Active Markets for Identical  Assets (Level 1) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 5,792,746 6,247,779
U.S. treasuries | Significant Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 0 0
U.S. treasuries | Significant Unobservable Inputs (Level 3) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 0 0
Agencies | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 363,256 361,684
Agencies | Quoted Prices in Active Markets for Identical  Assets (Level 1) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 0 0
Agencies | Significant Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 363,256 361,684
Agencies | Significant Unobservable Inputs (Level 3) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 0 0
Non-U.S. government | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 485,193 549,613
Non-U.S. government | Quoted Prices in Active Markets for Identical  Assets (Level 1) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 0 0
Non-U.S. government | Significant Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 485,193 549,613
Non-U.S. government | Significant Unobservable Inputs (Level 3) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 0 0
Non-U.S. government-backed corporate | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 431,008 474,848
Non-U.S. government-backed corporate | Quoted Prices in Active Markets for Identical  Assets (Level 1) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 0 0
Non-U.S. government-backed corporate | Significant Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 431,008 474,848
Non-U.S. government-backed corporate | Significant Unobservable Inputs (Level 3) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 0 0
Corporate | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 3,420,946 3,214,438
Corporate | Quoted Prices in Active Markets for Identical  Assets (Level 1) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 0 0
Corporate | Significant Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 3,420,946 3,214,438
Corporate | Significant Unobservable Inputs (Level 3) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 0 0
Agency mortgage-backed | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 714,176 721,955
Agency mortgage-backed | Quoted Prices in Active Markets for Identical  Assets (Level 1) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 0 0
Agency mortgage-backed | Significant Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 714,176 721,955
Agency mortgage-backed | Significant Unobservable Inputs (Level 3) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 0 0
Non-agency mortgage-backed | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 212,145 233,346
Non-agency mortgage-backed | Quoted Prices in Active Markets for Identical  Assets (Level 1) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 0 0
Non-agency mortgage-backed | Significant Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 212,145 233,346
Non-agency mortgage-backed | Significant Unobservable Inputs (Level 3) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 0 0
Commercial mortgage-backed | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 567,186 634,925
Commercial mortgage-backed | Quoted Prices in Active Markets for Identical  Assets (Level 1) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 0 0
Commercial mortgage-backed | Significant Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 567,186 634,925
Commercial mortgage-backed | Significant Unobservable Inputs (Level 3) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 0 0
Asset-backed | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 1,042,429 1,068,543
Asset-backed | Quoted Prices in Active Markets for Identical  Assets (Level 1) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 0 0
Asset-backed | Significant Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 1,042,429 1,068,543
Asset-backed | Significant Unobservable Inputs (Level 3) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Fixed maturity investments 0 0
Catastrophe bonds | Fair Value, Inputs, Level 1, 2 and 3 | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments 1,233,023 1,104,034
Catastrophe bonds | Quoted Prices in Active Markets for Identical  Assets (Level 1) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments 0 0
Catastrophe bonds | Significant Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments 1,233,023 1,104,034
Catastrophe bonds | Significant Unobservable Inputs (Level 3) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments 0 0
Direct private equity investment | Fair Value, Inputs, Level 1, 2 and 3 | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments 80,213 88,373
Direct private equity investment | Quoted Prices in Active Markets for Identical  Assets (Level 1) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments 0 0
Direct private equity investment | Significant Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments 0 0
Direct private equity investment | Significant Unobservable Inputs (Level 3) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments 80,213 88,373
Term loans | Fair Value, Inputs, Level 1, 2 and 3 | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments 85,000 74,850
Term loans | Quoted Prices in Active Markets for Identical  Assets (Level 1) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments 0  
Term loans | Significant Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments 0  
Term loans | Significant Unobservable Inputs (Level 3) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments 85,000 74,850
Fund investments | Fair Value Measured at Net Asset Value Per Share | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other investments $ 784,243 $ 725,802