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Reinsurance (Reinsurance Financial Information) (Details) - USD ($)
12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Reinsurance Disclosures [Abstract]      
Written premiums, Direct $ 6,973,216,000 $ 6,726,029,000 $ 6,647,600,000
Written premiums, Assumed 729,278,000 750,934,000 896,101,000
Written premiums, Ceded (1,269,267,000) (1,216,455,000) (1,119,788,000)
Total net premiums written 6,433,227,000 6,260,508,000 6,423,913,000
Earned premiums, Direct 6,851,795,000 6,661,046,000 6,492,240,000
Earned premiums, Assumed 755,759,000 812,309,000 900,570,000
Earned premiums, Ceded (1,236,049,000) (1,161,936,000) (1,099,462,000)
Net premiums earned 6,371,505,000 6,311,419,000 6,293,348,000
Ceded losses and loss expenses incurred 829,742,000 601,769,000 707,336,000
Ceded commission earned 268,037,000 241,983,000 201,957,000
Uncollectible reinsurance $ 946,965 $ 1,010,000 $ 1,049,000