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Operating Segments - Summary of Operating Results by Segment (Detail) - USD ($)
$ in Thousands
 3 Months Ended 6 Months Ended
Jun. 30, 2021
Jun. 30, 2020
Jun. 30, 2021
Jun. 30, 2020
Segment Reporting Information [Line Items]        
Interest Income (Expense), Net $ 257,156 $ 245,811 $ 498,037 $ 490,332
Credit loss expense 0 31,975 63 207,172
Total non-interest income 91,247 77,601 184,483 290,516
Total non-interest expense 215,254 199,679 425,396 423,842
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest 133,149 91,758 257,061 149,834
Income taxes 15,081 (1,314) 22,978 2,009
Net income 118,068 93,072 234,083 147,825
Less: Preferred stock dividends 1,669 0 3,820 2,016
Redemption of preferred stock 0 0 0 5,514
Net Income (Loss) Available to Common Stockholders, Basic 116,399 93,072 230,263 140,295
Revenues from (expenses to) external customers 348,403 323,412 682,520 780,848
Bank        
Segment Reporting Information [Line Items]        
Interest Income (Expense), Net 258,450 247,279 500,655 493,292
Credit loss expense 0 31,976 63 207,174
Total non-interest income 48,944 42,906 102,724 216,322
Total non-interest expense 183,109 166,620 362,260 355,592
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest 124,285 91,589 241,056 146,848
Income taxes 13,605 (903) 20,782 2,332
Net income 110,680   220,274 144,516
Less: Preferred stock dividends 0   0 0
Redemption of preferred stock       0
Net Income (Loss) Available to Common Stockholders, Basic 110,680 92,492 220,274 144,516
Revenues from (expenses to) external customers 307,394 290,185 603,379 709,614
Frost Wealth Advisors [Member]        
Segment Reporting Information [Line Items]        
Interest Income (Expense), Net 508 684 994 1,561
Credit loss expense 0 (1) 0 (2)
Total non-interest income 42,534 34,920 82,143 74,650
Total non-interest expense 30,014 30,637 59,951 64,173
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest 13,028 4,968 23,186 12,040
Income taxes 2,736 1,043 4,869 2,528
Net income 10,292   18,317 9,512
Less: Preferred stock dividends 0   0 0
Redemption of preferred stock       0
Net Income (Loss) Available to Common Stockholders, Basic 10,292 3,925 18,317 9,512
Revenues from (expenses to) external customers 43,042 35,604 83,137 76,211
Non-Banks [Member]        
Segment Reporting Information [Line Items]        
Interest Income (Expense), Net (1,802) (2,152) (3,612) (4,521)
Credit loss expense 0 0 0 0
Total non-interest income (231) (225) (384) (456)
Total non-interest expense 2,131 2,422 3,185 4,077
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest (4,164) (4,799) (7,181) (9,054)
Income taxes (1,260) (1,454) (2,673) (2,851)
Net income (2,904)   (4,508) (6,203)
Less: Preferred stock dividends 1,669   3,820 2,016
Redemption of preferred stock       5,514
Net Income (Loss) Available to Common Stockholders, Basic (4,573) (3,345) (8,328) (13,733)
Revenues from (expenses to) external customers $ (2,033) $ (2,377) $ (3,996) $ (4,977)