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Parent Company Only Financial Information (Details) - USD ($)
 3 Months Ended 12 Months Ended
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, 2015
Sep. 30, 2015
Jun. 30, 2015
Mar. 31, 2015
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Dec. 31, 2014
Investment in unconsolidated subsidiaries:                                      
Other assets                               $ 757,332,667 $ 330,651,002    
Total assets                               22,205,699,847 11,194,622,599    
Liabilities and Equity [Abstract]                                      
Subordinated debt and other borrowings                               465,504,589 350,768,050    
Other Liabilities                               114,889,760 90,267,267    
Stockholders' equity                               3,707,952,031 1,496,696,112 $ 1,155,611,300 $ 802,693,381
Total liabilities and stockholders' equity                               22,205,699,847 11,194,622,599    
CONDENSED STATEMENTS OF OPERATIONS [Abstract]                                      
Income from equity method investment                         $ 37,957,692 $ 31,402,923 $ 20,591,484        
Other income (loss)                         46,168,416 36,554,938 24,715,442        
Expenses:                                      
Interest expense - subordinated debentures                         92,831,238 38,614,647 18,536,965        
Personnel expense, including stock compensation                         209,661,812 140,818,772 105,928,914        
Income tax expense (benefit)                         124,006,536 64,159,167 47,588,528        
Net income $ 26,798,000 $ 64,442,000 $ 43,086,000 $ 39,653,000 $ 36,097,000 $ 32,377,000 $ 30,787,000 $ 27,964,000 $ 26,854,000 $ 24,149,000 $ 22,665,000 $ 21,843,000 173,979,487 127,224,695 95,509,402        
CONDENSED STATEMENTS OF CASH FLOWS [Abstract]                                      
Net income 26,798,000 $ 64,442,000 $ 43,086,000 39,653,000 36,097,000 $ 32,377,000 $ 30,787,000 27,964,000 26,854,000 $ 24,149,000 $ 22,665,000 21,843,000 173,979,487 127,224,695 95,509,402        
Adjustments to reconcile net income to net cash provided by operating activities:                                      
Depreciation, amortization and accretion                         (23,618,474) 16,995,490 10,268,576        
Stock-based compensation expense                         19,538,083 10,970,849 7,341,603        
Deferred tax (expense) benefit                         59,651,000 14,390,000 5,819,000        
Income from equity method investment                         (37,957,692) (31,402,923) (20,591,484)        
Excess tax benefit from stock compensation                         (5,365,493) (4,604,007) (4,116,120)        
(Increase) decrease in other assets                         (33,297,361) (17,411,223) (2,359,490)        
(Decrease) increase in other liabilities                         (17,699,526) 2,829,656 (7,487,499)        
Net cash provided by operating activities                         147,941,106 126,638,676 84,603,830        
Investing activities:                                      
Increase in equity method investment                         0 (74,100,000) (75,440,530)        
Dividends received from equity method investment                         21,650,046 28,982,009 7,152,000        
Increase in other investments                         (7,804,237) (27,508,882) (1,712,685)        
Net cash used in investing activities                         (2,097,602,927) (1,253,404,506) (742,598,028)        
Financing activities:                                      
Proceeds from Issuance of Common Stock                         192,193,750 0 0        
Exercise of common stock options and stock appreciation rights, net of shares surrendered for taxes                         493,347 11,589,495 3,602,805        
Excess tax benefit from stock compensation                         0 4,604,007 4,116,120        
Common dividends paid                         35,907,449 24,725,598 18,307,075        
Net cash provided by financing activities                         2,545,613,698 989,459,917 791,038,021        
Cash and Cash Equivalents, Period Increase (Decrease)                         595,951,877 (137,305,913) 133,043,823        
Investment Income, Dividend                         63,100,000 27,700,000 19,000,000        
Parent Company [Member]                                      
Assets [Abstract]                                      
Cash and cash equivalents 64,851,000     36,984,000 36,984,000     21,740,000 21,740,000     36,496,000 36,984,000 21,740,000 36,496,000 64,851,000 36,984,000 $ 21,740,000 $ 36,496,000
Investments in consolidated subsidiaries                               3,861,508,000 1,585,212,000    
Investment in unconsolidated subsidiaries:                                      
Unconsolidated subsidiaries                               3,995,000 2,476,000    
Other investments                               69,256,000 61,374,000    
Current income tax receivable                               20,017,000 6,831,000    
Other assets                               29,524,000 29,182,000    
Total assets                               4,049,151,000 1,722,059,000    
Liabilities and Equity [Abstract]                                      
Taxes Payable                               24,000 0    
Subordinated debt and other borrowings                               337,818,000 223,337,000    
Other Liabilities                               3,357,000 2,026,000    
Stockholders' equity                               3,707,952,000 1,496,696,000    
Total liabilities and stockholders' equity                               $ 4,049,151,000 $ 1,722,059,000    
CONDENSED STATEMENTS OF OPERATIONS [Abstract]                                      
Income from bank subsidiaries                         63,100,000 27,663,000 19,038,000        
Income from nonbank subsidiaries                         297,000 5,198,000 210,000        
Income from equity method investment                         10,126,000 7,663,000 0        
Other income (loss)                         380,000 21,000 (132,000)        
Expenses:                                      
Interest expense - subordinated debentures                         9,856,000 1,997,000 220,000        
Personnel expense, including stock compensation                         16,629,000 10,971,000 7,342,000        
Other expense                         8,076,000 3,653,000 2,889,000        
Income before income taxes and equity in undistributed income of subsidiaries                         39,342,000 23,924,000 8,665,000        
Income tax expense (benefit)                         (12,748,000) (3,428,000) (4,119,000)        
Income before equity in undistributed income of subsidiaries                         52,090,000 27,352,000 12,784,000        
Equity in undistributed income of bank subsidiaries                         121,341,000 104,318,000 81,536,000        
Equity in undistributed income (loss) of nonbank subsidiaries                         548,000 (4,445,000) 1,189,000        
Net income                         173,979,000 127,225,000 95,509,000        
CONDENSED STATEMENTS OF CASH FLOWS [Abstract]                                      
Net income                         173,979,000 127,225,000 95,509,000        
Adjustments to reconcile net income to net cash provided by operating activities:                                      
Depreciation, amortization and accretion                         290,000 543,000 0        
Stock-based compensation expense                         19,538,000 10,971,000 7,342,000        
Increase (Decrease) in Income Taxes Payable, Net of Income Taxes Receivable                         24,000 (12,000) (10,870,000)        
Deferred tax (expense) benefit                         5,919,000 1,025,000 (394,000)        
Income from equity method investment                         (10,368,000) (8,350,000) 0        
Excess tax benefit from stock compensation                         (5,365,000) (4,604,000) (4,116,000)        
Loss (gain) on other investments                         (350,000) 497,000 132,000        
(Increase) decrease in other assets                         (3,989,000) 2,636,000 1,194,000        
(Decrease) increase in other liabilities                         (9,194,000) 3,157,000 3,771,000        
Equity in undistributed (income) loss of bank subsidiaries                         (121,341,000) (104,318,000) (81,530,000)        
Equity in undistributed (income) loss of nonbank subsidiaries                         (548,000) 4,445,000 (1,189,000)        
Net cash provided by operating activities                         48,595,000 33,215,000 9,849,000        
Investing activities:                                      
Investments in consolidated subsidiaries                         (182,288,000) (118,878,000) 0        
Investment in unconsolidated banking subsidiaries                         2,712,000 0 0        
Increase in equity method investment                         0 (11,400,000) 0        
Dividends received from equity method investment                         5,655,000 3,255,000 0        
Increase in other investments                         (815,000) (710,000) (335,000)        
Net cash used in investing activities                         (177,448,000) (127,733,000) (335,000)        
Financing activities:                                      
Net (decrease) increase in subordinated debt and other borrowings                         (60,000) 118,294,000 (13,682,000)        
Proceeds from Issuance of Common Stock                         192,194,000 0 0        
Exercise of common stock options and stock appreciation rights, net of shares surrendered for taxes                         493,000 11,589,000 3,603,000        
Excess tax benefit from stock compensation                         0 4,604,000 4,116,000        
Common dividends paid                         (35,907,000) (24,725,000) (18,307,000)        
Net cash provided by financing activities                         156,720,000 109,762,000 (24,270,000)        
Cash and Cash Equivalents, Period Increase (Decrease)                         27,867,000 15,244,000 (14,756,000)        
Cash and cash equivalents, beginning of year       $ 36,984,000       $ 21,740,000       $ 36,496,000 36,984,000 21,740,000 36,496,000        
Cash and cash equivalents, end of year $ 64,851,000       $ 36,984,000       $ 21,740,000       $ 64,851,000 $ 36,984,000 $ 21,740,000