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Operating Segments - Summary of Operating Results by Segment (Detail) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2021
Sep. 30, 2020
Segment Reporting Information [Line Items]        
Interest Income (Expense), Net $ 246,122 $ 243,423 $ 744,159 $ 733,755
Credit loss expense 0 20,302 63 227,474
Total non-interest income 93,189 83,601 277,672 374,117
Total non-interest expense 218,003 202,150 643,399 625,992
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest 121,308 104,572 378,369 254,406
Income taxes 13,333 9,516 36,311 11,525
Net income 107,975 95,056 342,058 242,881
Less: Preferred stock dividends 1,668 0 5,488 2,016
Redemption of preferred stock 0 0 0 5,514
Net Income (Loss) Available to Common Stockholders, Basic 106,307 95,056 336,570 235,351
Revenues from (expenses to) external customers 339,311 327,024 1,021,831 1,107,872
Bank        
Segment Reporting Information [Line Items]        
Interest Income (Expense), Net 247,381 244,685 748,036 737,977
Credit loss expense (6) 20,300 57 227,474
Total non-interest income 51,279 49,170 154,003 265,492
Total non-interest expense 185,891 170,290 548,151 525,882
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest 112,775 103,265 353,831 250,113
Income taxes 12,029 9,758 32,811 12,090
Net income 100,746   321,020 238,023
Less: Preferred stock dividends 0   0 0
Redemption of preferred stock       0
Net Income (Loss) Available to Common Stockholders, Basic 100,746 93,507 321,020 238,023
Revenues from (expenses to) external customers 298,660 293,855 902,039 1,003,469
Frost Wealth Advisors [Member]        
Segment Reporting Information [Line Items]        
Interest Income (Expense), Net 536 602 1,530 2,163
Credit loss expense 6 2 6 0
Total non-interest income 42,369 34,680 124,512 109,330
Total non-interest expense 31,086 30,052 91,037 94,225
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest 11,813 5,228 34,999 17,268
Income taxes 2,481 1,098 7,350 3,626
Net income 9,332   27,649 13,642
Less: Preferred stock dividends 0   0 0
Redemption of preferred stock       0
Net Income (Loss) Available to Common Stockholders, Basic 9,332 4,130 27,649 13,642
Revenues from (expenses to) external customers 42,905 35,282 126,042 111,493
Non-Banks [Member]        
Segment Reporting Information [Line Items]        
Interest Income (Expense), Net (1,795) (1,864) (5,407) (6,385)
Credit loss expense 0 0 0 0
Total non-interest income (459) (249) (843) (705)
Total non-interest expense 1,026 1,808 4,211 5,885
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest (3,280) (3,921) (10,461) (12,975)
Income taxes (1,177) (1,340) (3,850) (4,191)
Net income (2,103)   (6,611) (8,784)
Less: Preferred stock dividends 1,668   5,488 2,016
Redemption of preferred stock       5,514
Net Income (Loss) Available to Common Stockholders, Basic (3,771) (2,581) (12,099) (16,314)
Revenues from (expenses to) external customers $ (2,254) $ (2,113) $ (6,250) $ (7,090)