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Reinsurance - Effects of reinsurance (Details) - USD ($) $ in Thousands	3 Months Ended								12 Months Ended
	Dec. 31, 2020	Sep. 30, 2020	Jun. 30, 2020	Mar. 31, 2020	Dec. 31, 2019	Sep. 30, 2019	Jun. 30, 2019	Mar. 31, 2019	Dec. 31, 2020	Dec. 31, 2019	Dec. 31, 2018
Premiums Written
Direct									$ 6,553,910	$ 5,681,523	$ 4,838,902
Assumed									3,534,158	2,457,437	2,122,102
Ceded									(2,650,352)	(2,099,893)	(1,614,257)
Net premiums written	$ 1,758,015	$ 1,874,144	$ 1,668,311	$ 2,137,246	$ 1,455,453	$ 1,613,457	$ 1,444,898	$ 1,525,259	7,437,716	6,039,067	5,346,747
Premiums Earned
Direct									6,361,451	5,447,829	4,799,842
Assumed									3,213,873	2,337,950	1,988,038
Ceded									(2,583,389)	(1,999,281)	(1,555,905)
Net premiums earned	$ 1,811,045	$ 1,771,092	$ 1,665,354	$ 1,744,444	$ 1,515,882	$ 1,438,023	$ 1,463,727	$ 1,368,866	6,991,935	5,786,498	5,231,975
Losses and Loss Adjustment Expenses
Direct									4,392,392	2,953,072	2,472,133
Assumed									2,204,323	1,602,528	1,307,317
Ceded									(1,907,116)	(1,422,148)	(889,344)
Net									$ 4,689,599	$ 3,133,452	$ 2,890,106

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