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Operating Segments (Summary of Operating Results by Segment) (Detail) - USD ($)
$ in Thousands
 12 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Dec. 31, 2022
Segment Reporting Information [Line Items]      
Interest income $ 2,390,637 $ 2,217,716 $ 1,475,721
Net interest income (expense) 1,604,612 1,558,664 1,291,283
Credit loss expense 64,985 46,171 3,000
Net interest income after credit loss expense 1,539,627 1,512,493 1,288,283
Trust and investment management fees 165,270 153,315 154,679
Service charges on deposit accounts 106,230 93,504 91,891
Insurance commissions and fees 61,269 58,271 53,210
Interchange and card transaction fees 21,017 19,419 18,231
Other charges, commissions and fees 53,348 49,026 41,590
Net gain (loss) on securities transactions (96) 66 0
Other 52,060 54,941 45,217
Total non-interest income 459,098 428,542 404,818
Salaries and wages 621,394 547,718 492,096
Employee benefits 122,446 115,306 88,608
Net occupancy 128,751 124,396 112,495
Technology, furniture and equipment 148,487 135,286 120,771
Deposit insurance 37,269 76,589 15,603
Other 244,411 229,367 194,701
Total non-interest expense 1,302,758 1,228,662 1,024,274
Income (loss) before income taxes 695,967 712,373 668,827
Income tax expense (benefit) 113,425 114,400 89,677
Net income (loss) 582,542 597,973 579,150
Preferred stock dividends 6,675 6,675 6,675
Net income (loss) available to common shareholders 575,867 591,298 572,475
Revenues from (expenses to) external customers 2,063,710 1,987,206 1,696,101
Average assets (in millions) 49,694,000 49,604,000 51,513,000
Banking [Member]      
Segment Reporting Information [Line Items]      
Interest income 2,382,675 2,209,659 1,470,947
Interest expense 772,075 647,218 175,480
Net interest income (expense) 1,610,600 1,562,441 1,295,467
Credit loss expense 64,985 46,171 3,000
Net interest income after credit loss expense 1,545,615 1,516,270 1,292,467
Trust and investment management fees 0 0 0
Service charges on deposit accounts 106,217 93,478 91,851
Insurance commissions and fees 61,269 58,271 53,210
Interchange and card transaction fees 21,017 19,419 18,231
Other charges, commissions and fees 30,626 30,217 24,520
Net gain (loss) on securities transactions (96) 66 0
Other 45,790 49,868 43,064
Total non-interest income 264,823 251,319 230,876
Salaries and wages 544,843 480,083 430,660
Employee benefits 109,431 103,427 78,178
Net occupancy 115,136 109,953 98,916
Technology, furniture and equipment 142,517 129,042 115,257
Deposit insurance 37,203 76,535 15,569
Other 189,700 178,784 147,841
Total non-interest expense 1,138,830 1,077,824 886,421
Income (loss) before income taxes 671,608 689,765 636,922
Income tax expense (benefit) 110,524 111,145 85,127
Net income (loss) 561,084 578,620 551,795
Preferred stock dividends 0 0 0
Net income (loss) available to common shareholders 561,084 578,620 551,795
Revenues from (expenses to) external customers 1,875,423 1,813,760 1,526,343
Average assets (in millions) 49,621,000 49,536,000 51,448,000
Frost Wealth Advisors [Member]      
Segment Reporting Information [Line Items]      
Interest income 7,962 8,057 4,774
Interest expense 421 437 129
Net interest income (expense) 7,541 7,620 4,645
Credit loss expense 0 0 0
Net interest income after credit loss expense 7,541 7,620 4,645
Trust and investment management fees 167,448 155,278 156,751
Service charges on deposit accounts 13 26 40
Insurance commissions and fees 0 0 0
Interchange and card transaction fees 0 0 0
Other charges, commissions and fees 22,717 18,809 17,070
Net gain (loss) on securities transactions 0 0 0
Other 6,011 4,793 2,013
Total non-interest income 196,189 178,906 175,874
Salaries and wages 74,928 66,070 59,988
Employee benefits 12,911 11,776 10,273
Net occupancy 13,615 14,443 13,579
Technology, furniture and equipment 5,764 6,054 5,341
Deposit insurance 66 54 34
Other 49,790 46,081 42,794
Total non-interest expense 157,074 144,478 132,009
Income (loss) before income taxes 46,656 42,048 48,510
Income tax expense (benefit) 9,798 8,830 10,187
Net income (loss) 36,858 33,218 38,323
Preferred stock dividends 0 0 0
Net income (loss) available to common shareholders 36,858 33,218 38,323
Revenues from (expenses to) external customers 203,730 186,526 180,519
Average assets (in millions) 64,000 59,000 57,000
Non-Banks [Member]      
Segment Reporting Information [Line Items]      
Interest income 0 0 0
Interest expense 13,529 11,397 8,829
Net interest income (expense) (13,529) (11,397) (8,829)
Credit loss expense 0 0 0
Net interest income after credit loss expense (13,529) (11,397) (8,829)
Trust and investment management fees (2,178) (1,963) (2,072)
Service charges on deposit accounts 0 0 0
Insurance commissions and fees 0 0 0
Interchange and card transaction fees 0 0 0
Other charges, commissions and fees 5 0 0
Net gain (loss) on securities transactions 0 0 0
Other 259 280 140
Total non-interest income (1,914) (1,683) (1,932)
Salaries and wages 1,623 1,565 1,448
Employee benefits 104 103 157
Net occupancy 0 0 0
Technology, furniture and equipment 206 190 173
Deposit insurance 0 0 0
Other 4,921 4,502 4,066
Total non-interest expense 6,854 6,360 5,844
Income (loss) before income taxes (22,297) (19,440) (16,605)
Income tax expense (benefit) (6,897) (5,575) (5,637)
Net income (loss) (15,400) (13,865) (10,968)
Preferred stock dividends 6,675 6,675 6,675
Net income (loss) available to common shareholders (22,075) (20,540) (17,643)
Revenues from (expenses to) external customers (15,443) (13,080) (10,761)
Average assets (in millions) $ 9,000 $ 9,000 $ 8,000