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Related Party Transactions and Major Customers (Details) - USD ($) | 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
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |
Gross premiums written | $ 905,479,000 | $ 861,068,000 | $ 1,476,908,000 | $ 1,564,295,000 | $ 547,755,000 | $ 625,677,000 | $ 977,343,000 | $ 1,159,652,000 | $ 4,807,750,000 | $ 3,310,427,000 | $ 2,797,540,000
Gross premiums earned |  |  |  |  |  |  |  |  | 4,348,261,000 | 2,779,796,000 | 2,307,219,000
Acquisition expenses | 208,618,000 | $ 202,181,000 | $ 227,482,000 | $ 123,951,000 | 120,465,000 | $ 109,761,000 | $ 105,052,000 | $ 97,711,000 | 762,232,000 | 432,989,000 | 346,892,000
Net reinsurance costs and recoveries |  |  |  |  |  |  |  |  | (1,124,757,000) | (1,458,518,000) | (1,558,960,000)
Total gross reserve for claims and claim expenses | 9,384,349,000 |  |  |  | 6,076,271,000 |  |  |  | 9,384,349,000 | 6,076,271,000 | 5,080,408,000
Ceded premiums written |  |  |  |  |  |  |  |  | 1,426,257,000 | 1,178,525,000 | 926,215,000
Ceded premiums earned |  |  |  |  |  |  |  |  | 1,414,383,000 | 1,095,886,000 | 833,929,000
Reinsurance recoverable | 2,791,297,000 |  |  |  |  |  |  |  | 2,791,297,000 |  |
Equity method investment, dividends and distributions |  |  |  |  |  |  |  |  | $ (36,500,000) | $ (26,100,000) | $ 29,700,000
Gross premiums written | Three Brokers |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |
Percent of gross premiums received |  |  |  |  |  |  |  |  | 79.60% | 75.20% | 76.40%
Gross premiums written | AON |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |
Percent of gross premiums received |  |  |  |  |  |  |  |  | 41.70% | 40.70% | 42.80%
Gross premiums written | Marsh |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |
Percent of gross premiums received |  |  |  |  |  |  |  |  | 27.10% | 24.60% | 23.80%
Gross premiums written | Willis Towers Watson |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |
Percent of gross premiums received |  |  |  |  |  |  |  |  | 10.80% | 9.90% | 9.80%
Tower Hill Companies |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |
Gross premiums written |  |  |  |  |  |  |  |  | $ 39,800,000 | $ 45,500,000 | $ 39,100,000
Gross premiums earned |  |  |  |  |  |  |  |  | 40,700,000 | 43,800,000 | 35,700,000
Acquisition expenses |  |  |  |  |  |  |  |  | 6,100,000 | 7,100,000 | 5,100,000
Related party receivables | 14,800,000 |  |  |  | 19,300,000 |  |  |  | 14,800,000 | 19,300,000 |
Net reinsurance costs and recoveries |  |  |  |  |  |  |  |  | 37,700,000 | 111,200,000 | 94,400,000
Total gross reserve for claims and claim expenses | 71,800,000 |  |  |  | $ 98,800,000 |  |  |  | 71,800,000 | 98,800,000 |
Ceded premiums written |  |  |  |  |  |  |  |  | 500,000 |  |
Ceded premiums earned |  |  |  |  |  |  |  |  | 400,000 |  |
Ceded premiums payable | 0 |  |  |  |  |  |  |  | 0 |  |
Policyholder benefits and claims incurred, ceded |  |  |  |  |  |  |  |  | 0 |  |
Policyholder benefits and claims recovered, ceded |  |  |  |  |  |  |  |  | 41,800,000 |  |
Reinsurance recoverable | $ 21,800,000 |  |  |  |  |  |  |  | 21,800,000 |  |
Equity method investment, dividends and distributions |  |  |  |  |  |  |  |  | 13,400,000 | 12,100,000 | 8,300,000
Top Layer Reinsurance Ltd. |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |
Equity method investment, dividends and distributions |  |  |  |  |  |  |  |  | 20,000,000.0 | 12,500,000 | 20,000,000.0
Top Layer Reinsurance Ltd. | Management Fee |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |
Revenue recorded |  |  |  |  |  |  |  |  | $ 2,300,000 | $ 2,700,000 | $ 2,700,000

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