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Operating Segments - Summary of Operating Results by Segment (Detail) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Segment Reporting Information [Line Items]        
Interest Income (Expense), Net $ 355,547 $ 246,122 $ 892,826 $ 744,159
Credit loss expense 0 0 0 63
Total non-interest income 99,821 93,189 299,138 277,672
Total non-interest expense 257,898 218,003 742,977 643,399
Income (loss) before income taxes 197,470 121,308 448,987 378,369
Income tax expense (benefit) 27,710 13,333 61,011 36,311
Net income (loss) 169,760 107,975 387,976 342,058
Preferred stock dividends 1,668 1,668 5,006 5,488
Net income (loss) available to common shareholders 168,092 106,307 382,970 336,570
Revenues from (expenses to) external customers 455,368 339,311 1,191,964 1,021,831
Bank        
Segment Reporting Information [Line Items]        
Interest Income (Expense), Net 356,513 247,381 895,818 748,036
Credit loss expense (1) (6) (1) 57
Total non-interest income 55,994 51,279 170,097 154,003
Total non-interest expense 223,193 185,891 640,775 548,151
Income (loss) before income taxes 189,315 112,775 425,141 353,831
Income tax expense (benefit) 26,520 12,029 57,355 32,811
Net income (loss) 162,795 100,746 367,786 321,020
Preferred stock dividends 0 0 0 0
Net income (loss) available to common shareholders 162,795 100,746 367,786 321,020
Revenues from (expenses to) external customers 412,507 298,660 1,065,915 902,039
Frost Wealth Advisors [Member]        
Segment Reporting Information [Line Items]        
Interest Income (Expense), Net 1,357 536 3,015 1,530
Credit loss expense 1 6 1 6
Total non-interest income 44,263 42,369 130,546 124,512
Total non-interest expense 33,530 31,086 97,598 91,037
Income (loss) before income taxes 12,089 11,813 35,962 34,999
Income tax expense (benefit) 2,539 2,481 7,552 7,350
Net income (loss) 9,550 9,332 28,410 27,649
Preferred stock dividends 0 0 0 0
Net income (loss) available to common shareholders 9,550 9,332 28,410 27,649
Revenues from (expenses to) external customers 45,620 42,905 133,561 126,042
Non-Banks [Member]        
Segment Reporting Information [Line Items]        
Interest Income (Expense), Net (2,323) (1,795) (6,007) (5,407)
Credit loss expense 0 0 0 0
Total non-interest income (436) (459) (1,505) (843)
Total non-interest expense 1,175 1,026 4,604 4,211
Income (loss) before income taxes (3,934) (3,280) (12,116) (10,461)
Income tax expense (benefit) (1,349) (1,177) (3,896) (3,850)
Net income (loss) (2,585) (2,103) (8,220) (6,611)
Preferred stock dividends 1,668 1,668 5,006 5,488
Net income (loss) available to common shareholders (4,253) (3,771) (13,226) (12,099)
Revenues from (expenses to) external customers $ (2,759) $ (2,254) $ (7,512) $ (6,250)