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Reinsurance (Details) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Reinsurance [Abstract]                      
Written premiums: Direct                 $ 2,783,036 $ 2,240,951 $ 2,083,555
Written premiums: Assumed                 6,350,328 6,234,203 5,090,367
Written premiums: Ceded                 (1,308,940) (1,060,726) (929,261)
Net written premiums $ 2,120,186 $ 2,068,557 $ 1,783,983 $ 1,851,698 $ 2,057,071 $ 1,938,773 $ 1,746,378 $ 1,672,206 7,824,424 7,414,428 6,244,661
Premiums earned: Direct                 2,551,662 2,129,320 1,825,705
Premiums earned: Assumed                 6,059,222 5,807,332 4,945,522
Premiums earned: Ceded                 (1,207,198) (1,004,953) (833,387)
Net premiums earned $ 1,948,071 $ 1,905,619 $ 1,817,299 $ 1,732,697 $ 1,850,975 $ 1,731,479 $ 1,729,818 $ 1,619,427 7,403,686 6,931,699 5,937,840
Incurred losses and LAE: Direct                 1,618,686 1,372,589 1,311,682
Incurred losses and LAE: Assumed                 3,923,298 5,046,947 3,909,816
ncurred losses and LAE: Ceded                 (619,086) (768,133) (698,917)
Net incurred losses and LAE                 $ 4,922,898 $ 5,651,403 $ 4,522,581