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Quarterly Financial Results (unaudited) (Details) - USD ($)
 3 Months Ended 12 Months Ended
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2016
Sep. 30, 2016
Jun. 30, 2016
Mar. 31, 2016
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Quarterly Financial Information Disclosure [Abstract]                              
Interest income $ 256,095,000 $ 248,110,000 $ 230,984,000 $ 211,528,000 $ 208,085,000 $ 202,167,000 $ 123,743,000 $ 102,143,000 $ 101,493,000 $ 97,380,000 $ 83,762,000 $ 80,974,000 $ 946,717,000 $ 636,138,000 $ 363,609,000
Net interest income 190,215,000 189,420,000 182,236,000 174,471,000 174,731,000 173,182,000 106,627,000 88,767,000 89,413,000 86,635,000 75,044,000 73,902,000 701,965,000 519,642,000 306,666,000
Provision for loan losses 9,319,000 8,725,000 9,402,000 6,931,000 6,281,000 6,920,000 6,812,000 3,651,000 3,046,000 6,108,000 5,280,000 3,894,000 34,377,000 23,664,000 18,328,000
Net income before taxes 118,757,000 118,183,000 109,865,000 103,143,000 81,965,000 99,503,000 63,074,000 53,444,000 54,345,000 48,693,000 46,546,000 41,800,000 449,948,000 297,986,000 191,384,000
Net income $ 95,318,000 $ 93,747,000 $ 86,865,000 $ 83,510,000 $ 26,798,000 $ 64,442,000 $ 43,086,000 $ 39,653,000 $ 36,097,000 $ 32,377,000 $ 30,787,000 $ 27,964,000 $ 359,440,000 $ 173,979,000 $ 127,225,000
Basic net income per common share (in dollars per share) $ 1.24 $ 1.22 $ 1.13 $ 1.08 $ 0.35 $ 0.84 $ 0.81 $ 0.83 $ 0.79 $ 0.71 $ 0.75 $ 0.70 $ 4.66 $ 2.73 $ 2.96
Diluted net income per common share (in dollars per share) $ 1.23 $ 1.21 $ 1.12 $ 1.08 $ 0.35 $ 0.83 $ 0.80 $ 0.82 $ 0.78 $ 0.71 $ 0.73 $ 0.68 $ 4.64 $ 2.70 $ 2.91