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Operating Segments - Summary of Operating Results by Segment (Detail) - USD ($)
$ in Thousands
 3 Months Ended
Mar. 31, 2021
Mar. 31, 2020
Segment Reporting Information [Line Items]    
Interest Income (Expense), Net $ 240,881 $ 244,521
Credit loss expense 63 175,197
Total non-interest income 93,236 212,915
Total non-interest expense 210,142 224,163
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest 123,912 58,076
Income taxes 7,897 3,323
Net income 116,015 54,753
Less: Preferred stock dividends 2,151 2,016
Redemption of preferred stock 0 5,514
Net Income (Loss) Available to Common Stockholders, Basic 113,864 47,223
Revenues from (expenses to) external customers 334,117 457,436
Bank    
Segment Reporting Information [Line Items]    
Interest Income (Expense), Net 242,205 246,013
Credit loss expense 63 175,198
Total non-interest income 53,780 173,416
Total non-interest expense 179,151 188,972
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest 116,771 55,259
Income taxes 7,177 3,235
Net income 109,594 52,024
Less: Preferred stock dividends 0 0
Redemption of preferred stock   0
Net Income (Loss) Available to Common Stockholders, Basic 109,594 52,024
Revenues from (expenses to) external customers 295,985 419,429
Frost Wealth Advisors [Member]    
Segment Reporting Information [Line Items]    
Interest Income (Expense), Net 486 877
Credit loss expense 0 (1)
Total non-interest income 39,609 39,730
Total non-interest expense 29,937 33,536
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest 10,158 7,072
Income taxes 2,133 1,485
Net income 8,025 5,587
Less: Preferred stock dividends 0 0
Redemption of preferred stock   0
Net Income (Loss) Available to Common Stockholders, Basic 8,025 5,587
Revenues from (expenses to) external customers 40,095 40,607
Non-Banks [Member]    
Segment Reporting Information [Line Items]    
Interest Income (Expense), Net (1,810) (2,369)
Credit loss expense 0 0
Total non-interest income (153) (231)
Total non-interest expense 1,054 1,655
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest (3,017) (4,255)
Income taxes (1,413) (1,397)
Net income (1,604) (2,858)
Less: Preferred stock dividends 2,151 2,016
Redemption of preferred stock   5,514
Net Income (Loss) Available to Common Stockholders, Basic (3,755) (10,388)
Revenues from (expenses to) external customers $ (1,963) $ (2,600)