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Parent Company Only Financial Information (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, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Investment in unconsolidated subsidiaries:                                      
Other assets                               $ 1,220,435,000 $ 904,359,000    
Total assets                               27,805,496,000 25,031,044,000    
Liabilities and Equity [Abstract]                                      
Subordinated debt and other borrowings                               749,080,000 485,130,000    
Other Liabilities                               288,569,000 158,951,000    
Stockholders' equity                               4,355,748,000 3,965,940,000 $ 3,707,952,000 $ 1,496,696,000
Total liabilities and stockholders' equity                               27,805,496,000 25,031,044,000    
Expenses:                                      
Interest expense - subordinated debentures                         $ 301,794,000 $ 210,375,000 $ 92,832,000        
Personnel expense, including stock compensation                         313,359,000 271,673,000 209,662,000        
Income tax expense (benefit)                         96,656,000 90,508,000 124,007,000        
Net income $ 96,079,000 $ 110,521,000 $ 100,321,000 $ 93,960,000 $ 95,318,000 $ 93,747,000 $ 86,865,000 $ 83,510,000 $ 26,798,000 $ 64,442,000 $ 43,086,000 $ 39,653,000 400,881,000 359,440,000 173,979,000        
CONDENSED STATEMENTS OF CASH FLOWS [Abstract]                                      
Net income 96,079,000 $ 110,521,000 $ 100,321,000 93,960,000 95,318,000 $ 93,747,000 $ 86,865,000 83,510,000 26,798,000 $ 64,442,000 $ 43,086,000 39,653,000 400,881,000 359,440,000 173,979,000        
Adjustments to reconcile net income to net cash provided by operating activities:                                        
Depreciation, amortization and accretion                         8,342,000 (23,604,000) (23,618,000)        
Stock-based compensation expense                         21,226,000 17,636,000 19,538,000        
Deferred tax (expense) benefit                         14,696,000 11,765,000 59,651,000        
Income from equity method investment                         (90,111,000) (51,222,000) (37,958,000)        
Dividends received from equity method investment                         51,312,000 33,651,000 21,650,000        
Excess tax benefit from stock compensation                         (1,011,000) (2,966,000) (5,366,000)        
(Increase) decrease in other assets                         (57,499,000) (24,471,000) (37,023,000)        
Increase (decrease) in other liabilities                         79,264,000 60,617,000 (17,700,000)        
Net cash provided by operating activities                         434,288,000 470,757,000 165,864,000        
Investing activities:                                      
Increase in other investments                         (55,926,000) (56,918,000) (7,804,000)        
Net cash used in investing activities                         (2,619,061,000) (2,969,084,000) (2,115,528,000)        
Financing activities:                                      
Repayments of other borrowings                         184,175,000 620,000 220,000        
Proceeds from common stock issuance                         0 0 192,194,000        
Share repurchase                         (61,416,000) (20,694,000) 0        
Payments of Ordinary Dividends, Common Stock                         49,828,000 45,454,000 35,907,000        
Common dividends paid                         (49,828,000) (45,454,000) (35,907,000)        
Net cash provided by financing activities                         1,989,788,000 2,440,423,000 2,545,615,000        
Cash and Cash Equivalents, Period Increase (Decrease)                         (194,985,000) (57,904,000) 595,951,000        
Investment Income, Dividend                         114,000,000.0 83,100,000 63,100,000        
Parent Company                                      
Assets [Abstract]                                      
Cash and cash equivalents 182,091,000     94,043,000 94,043,000     64,851,000 64,851,000     36,984,000 182,091,000 64,851,000 36,984,000 182,091,000 94,043,000 $ 64,851,000 $ 36,984,000
Investment in unconsolidated subsidiaries:                                      
Unconsolidated subsidiaries                               3,995,000 3,995,000    
Other investments                               97,459,000 79,646,000    
Current income tax receivable                               11,696,000 19,032,000    
Other assets                               29,566,000 26,668,000    
Total assets                               4,985,933,000 4,326,244,000    
Liabilities and Equity [Abstract]                                      
Taxes Payable                               2,467,000 0    
Subordinated debt and other borrowings                               620,256,000 357,153,000    
Other Liabilities                               7,462,000 3,151,000    
Stockholders' equity                               4,355,748,000 3,965,940,000    
Total liabilities and stockholders' equity                               4,985,933,000 4,326,244,000    
CONDENSED STATEMENTS OF OPERATIONS [Abstract]                                      
Income from equity method investment                         24,298,000 13,731,000 10,126,000        
Other income (loss)                         3,485,000 1,310,000 576,000        
Expenses:                                      
Interest expense - subordinated debentures                         18,425,000 17,703,000 13,583,000        
Personnel expense, including stock compensation                         21,226,000 17,636,000 16,629,000        
Other expense                         1,496,000 1,312,000 4,349,000        
Income before income taxes and equity in undistributed income of subsidiaries                         100,796,000 61,650,000 39,342,000        
Income tax expense (benefit)                         (4,457,000) (8,570,000) (12,748,000)        
Income before equity in undistributed income of subsidiaries                         105,253,000 70,220,000 52,090,000        
Equity in undistributed income of bank subsidiaries                         294,354,000 288,728,000 121,341,000        
Equity in undistributed income (loss) of nonbank subsidiaries                         1,274,000 492,000 548,000        
Net income                         400,881,000 359,440,000 173,979,000        
CONDENSED STATEMENTS OF CASH FLOWS [Abstract]                                      
Net income                         400,881,000 359,440,000 173,979,000        
Adjustments to reconcile net income to net cash provided by operating activities:                                        
Depreciation, amortization and accretion                         (3,094,000) 105,000 48,000        
Stock-based compensation expense                         21,226,000 17,636,000 19,538,000        
Increase (Decrease) in Income Taxes Payable, Net of Income Taxes Receivable                         2,467,000 (24,000) 24,000        
Deferred tax (expense) benefit                         (2,857,000) (549,000) 5,919,000        
Income from equity method investment                         (24,298,000) (13,731,000) (10,126,000)        
Dividends received from equity method investment                         8,953,000 5,872,000 5,655,000        
Excess tax benefit from stock compensation                         (1,011,000) (2,966,000) (5,365,000)        
(Increase) decrease in other assets                         7,295,000 4,390,000 (3,990,000)        
Increase (decrease) in other liabilities                         5,322,000 2,758,000 (9,194,000)        
Equity in undistributed (income) loss of bank subsidiaries                         (294,354,000) (288,728,000) (121,341,000)        
Equity in undistributed (income) loss of nonbank subsidiaries                         (1,274,000) (492,000) (548,000)        
Net cash provided by operating activities                         118,199,000 83,502,000 54,249,000        
Investing activities:                                      
Investment in consolidated banking subsidiaries                         (180,000,000) 0 (182,288,000)        
Increase in other investments                         (1,411,000) (2,321,000) (815,000)        
Net cash used in investing activities                         (181,411,000) (2,321,000) (183,103,000)        
Financing activities:                                      
Net (decrease) increase in subordinated debt and other borrowings                         316,078,000 19,850,000 0        
Repayments of other borrowings                         49,880,000 620,000 60,000        
Proceeds from common stock issuance                         0 0 192,194,000        
Exercise of common stock options and stock appreciation rights, net of shares surrendered for taxes                         (3,694,000) (5,071,000) 494,000        
Share repurchase                         (61,416,000) (20,694,000) 0        
Payments of Ordinary Dividends, Common Stock                         (49,828,000) (45,454,000) (35,907,000)        
Net cash provided by financing activities                         151,260,000 (51,989,000) 156,721,000        
Cash and Cash Equivalents, Period Increase (Decrease)                         88,048,000 29,192,000 27,867,000        
Cash and cash equivalents, beginning of year       $ 94,043,000       $ 64,851,000       $ 36,984,000 94,043,000 64,851,000 36,984,000        
Cash and cash equivalents, end of year $ 182,091,000       $ 94,043,000       $ 64,851,000       182,091,000 94,043,000 64,851,000        
Equity Securities, FV-NI, Unrealized Gain (Loss)                         1,057,000 209,000 350,000        
Banking                                      
Assets [Abstract]                                      
Investments in consolidated subsidiaries                               4,653,310,000 4,096,349,000    
CONDENSED STATEMENTS OF OPERATIONS [Abstract]                                      
Income from bank subsidiaries                         113,982,000 83,090,000 63,100,000        
Nonbank subsidiaries                                      
Assets [Abstract]                                      
Investments in consolidated subsidiaries                               $ 7,816,000 $ 6,511,000    
CONDENSED STATEMENTS OF OPERATIONS [Abstract]                                      
Income from bank subsidiaries                         $ 178,000 $ 170,000 $ 101,000