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Parent Company Only Financial Information (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
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Investment in unconsolidated subsidiaries:                                      
Other assets                               $ 904,359,000 $ 757,334,000    
Total assets                               25,031,044,000 22,205,700,000    
Liabilities and Equity [Abstract]                                      
Subordinated debt and other borrowings                               485,130,000 465,505,000    
Other Liabilities                               158,951,000 114,890,000    
Stockholders' equity                               3,965,940,000 3,707,952,000 $ 1,496,696,000 $ 1,155,611,000
Total liabilities and stockholders' equity                               25,031,044,000 22,205,700,000    
Expenses:                                      
Interest expense - subordinated debentures                         $ 210,375,000 $ 92,832,000 $ 38,615,000        
Personnel expense, including stock compensation                         271,673,000 209,662,000 140,819,000        
Income tax expense (benefit)                         90,508,000 124,007,000 64,159,000        
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        
CONDENSED STATEMENTS OF CASH FLOWS [Abstract]                                      
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        
Adjustments to reconcile net income to net cash provided by operating activities:                                      
Depreciation, amortization and accretion                         (23,604,000) (23,618,000) 186,000        
Stock-based compensation expense                         17,636,000 19,538,000 10,971,000        
Deferred tax (expense) benefit                         11,765,000 59,651,000 14,390,000        
Income from equity method investment                         (51,222,000) (37,958,000) (31,403,000)        
Dividends received from equity method investment                         33,651,000 21,650,000 28,982,000        
Excess tax benefit from stock compensation                         (2,966,000) (5,366,000) (4,604,000)        
(Increase) decrease in other assets                         (24,471,000) (37,022,000) (5,275,000)        
Increase (decrease) in other liabilities                         60,617,000 (17,700,000) 4,198,000        
Net cash provided by operating activities                         470,757,000 165,865,000 152,316,000        
Investing activities:                                      
Increase in equity method investment                         0 0 (74,100,000)        
Increase in other investments                         (56,918,000) (7,804,000) (27,509,000)        
Net cash used in investing activities                         (2,969,084,000) (2,115,528,000) (1,279,082,000)        
Financing activities:                                      
Proceeds from common stock issuance                         0 192,194,000 0        
Exercise of common stock options and stock appreciation rights, net of shares surrendered for taxes                           493,000 11,589,000        
Share repurchase                         (20,694,000) 0 0        
Excess tax benefit from stock compensation                         0 0 4,604,000        
Common dividends paid                         45,454,000 35,907,000 24,726,000        
Net cash provided by financing activities                         2,440,423,000 2,545,614,000 989,460,000        
Cash and Cash Equivalents, Period Increase (Decrease)                         (57,904,000) 595,951,000 (137,306,000)        
Investment Income, Dividend                         83,100,000 63,100,000 27,700,000        
Parent Company                                      
Assets [Abstract]                                      
Cash and cash equivalents 94,043,000     64,851,000 64,851,000     36,984,000 36,984,000     21,740,000 64,851,000 36,984,000 21,740,000 94,043,000 64,851,000 $ 36,984,000 $ 21,740,000
Investment in unconsolidated subsidiaries:                                      
Unconsolidated subsidiaries                               3,995,000 3,995,000    
Other investments                               79,646,000 69,256,000    
Current income tax receivable                               19,032,000 20,017,000    
Other assets                               26,668,000 29,524,000    
Total assets                               4,326,244,000 4,049,151,000    
Liabilities and Equity [Abstract]                                      
Taxes Payable                               0 24,000    
Subordinated debt and other borrowings                               357,153,000 337,818,000    
Other Liabilities                               3,151,000 3,357,000    
Stockholders' equity                               3,965,940,000 3,707,952,000    
Total liabilities and stockholders' equity                               4,326,244,000 4,049,151,000    
CONDENSED STATEMENTS OF OPERATIONS [Abstract]                                      
Income from equity method investment                         13,731,000 10,126,000 7,663,000        
Other income (loss)                         266,000 380,000 21,000        
Expenses:                                      
Interest expense - subordinated debentures                         11,821,000 9,856,000 1,997,000        
Personnel expense, including stock compensation                         17,636,000 16,629,000 10,971,000        
Other expense                         7,194,000 8,076,000 3,653,000        
Income before income taxes and equity in undistributed income of subsidiaries                         61,650,000 39,342,000 23,924,000        
Income tax expense (benefit)                         (8,570,000) (12,748,000) (3,428,000)        
Income before equity in undistributed income of subsidiaries                         70,220,000 52,090,000 27,352,000        
Equity in undistributed income of bank subsidiaries                         288,728,000 121,341,000 104,318,000        
Equity in undistributed income (loss) of nonbank subsidiaries                         492,000 548,000 (4,445,000)        
Net income                         359,440,000 173,979,000 127,225,000        
CONDENSED STATEMENTS OF CASH FLOWS [Abstract]                                      
Net income                         359,440,000 173,979,000 127,225,000        
Adjustments to reconcile net income to net cash provided by operating activities:                                      
Depreciation, amortization and accretion                         105,000 48,000 (144,000)        
Stock-based compensation expense                         17,636,000 19,538,000 10,971,000        
Increase (Decrease) in Income Taxes Payable, Net of Income Taxes Receivable                         (24,000) 24,000 (12,000)        
Deferred tax (expense) benefit                         (549,000) 5,919,000 1,025,000        
Income from equity method investment                         (13,731,000) (10,126,000) (7,663,000)        
Dividends received from equity method investment                         5,872,000 5,655,000 3,255,000        
Excess tax benefit from stock compensation                         (2,966,000) (5,365,000) (4,604,000)        
Loss (gain) on other investments                         (209,000) (350,000) 497,000        
(Increase) decrease in other assets                         4,390,000 (3,989,000) 2,636,000        
Increase (decrease) in other liabilities                         2,758,000 (9,194,000) 3,157,000        
Equity in undistributed (income) loss of bank subsidiaries                         (288,728,000) (121,341,000) (104,318,000)        
Equity in undistributed (income) loss of nonbank subsidiaries                         (492,000) (548,000) 4,445,000        
Net cash provided by operating activities                         83,502,000 54,250,000 36,470,000        
Investing activities:                                      
Investments in consolidated subsidiaries                         0 (182,288,000) (118,878,000)        
Increase in equity method investment                         0 0 (11,400,000)        
Increase in other investments                         (2,321,000) (815,000) (710,000)        
Net cash used in investing activities                         (2,321,000) (183,103,000) (130,988,000)        
Financing activities:                                      
Net (decrease) increase in subordinated debt and other borrowings                         19,230,000 (60,000) 118,294,000        
Proceeds from common stock issuance                         0 192,194,000 0        
Exercise of common stock options and stock appreciation rights, net of shares surrendered for taxes                         (5,071,000) 493,000 11,589,000        
Share repurchase                         (20,694,000) 0 0        
Excess tax benefit from stock compensation                         0 0 4,604,000        
Common dividends paid                         (45,454,000) (35,907,000) (24,725,000)        
Net cash provided by financing activities                         (51,989,000) 156,720,000 109,762,000        
Cash and Cash Equivalents, Period Increase (Decrease)                         29,192,000 27,867,000 15,244,000        
Cash and cash equivalents, beginning of year       $ 64,851,000       $ 36,984,000       $ 21,740,000 64,851,000 36,984,000 21,740,000        
Cash and cash equivalents, end of year $ 94,043,000       $ 64,851,000       $ 36,984,000       94,043,000 64,851,000 36,984,000        
Banking                                      
Assets [Abstract]                                      
Investments in consolidated subsidiaries                               4,096,349,000 3,855,483,000    
CONDENSED STATEMENTS OF OPERATIONS [Abstract]                                      
Income from bank subsidiaries                         83,090,000 63,100,000 27,663,000        
Nonbank subsidiaries                                      
Assets [Abstract]                                      
Investments in consolidated subsidiaries                               $ 6,511,000 $ 6,025,000    
CONDENSED STATEMENTS OF OPERATIONS [Abstract]                                      
Income from bank subsidiaries                         $ 1,214,000 $ 297,000 $ 5,198,000