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Operating Segments - Summary of Operating Results by Segment (Detail) - USD ($)
$ in Thousands
 3 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Segment Reporting Information [Line Items]    
Interest Income (Expense), Net $ 249,071 $ 240,881
Credit loss expense 0 63
Total non-interest income 101,390 93,236
Total non-interest expense 238,732 210,142
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest 111,729 123,912
Income taxes 12,627 7,897
Net income 99,102 116,015
Less: Preferred stock dividends 1,669 2,151
Net Income (Loss) Available to Common Stockholders, Basic 97,433 113,864
Revenues from (expenses to) external customers 350,461 334,117
Bank    
Segment Reporting Information [Line Items]    
Interest Income (Expense), Net 250,119 242,205
Credit loss expense (1) 63
Total non-interest income 58,706 53,780
Total non-interest expense 206,538 179,151
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest 102,288 116,771
Income taxes 11,014 7,177
Net income 91,274 109,594
Less: Preferred stock dividends 0 0
Net Income (Loss) Available to Common Stockholders, Basic 91,274 109,594
Revenues from (expenses to) external customers 308,825 295,985
Frost Wealth Advisors [Member]    
Segment Reporting Information [Line Items]    
Interest Income (Expense), Net 700 486
Credit loss expense 1 0
Total non-interest income 43,229 39,609
Total non-interest expense 30,910 29,937
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest 13,018 10,158
Income taxes 2,734 2,133
Net income 10,284 8,025
Less: Preferred stock dividends 0 0
Net Income (Loss) Available to Common Stockholders, Basic 10,284 8,025
Revenues from (expenses to) external customers 43,929 40,095
Non-Banks [Member]    
Segment Reporting Information [Line Items]    
Interest Income (Expense), Net (1,748) (1,810)
Credit loss expense 0 0
Total non-interest income (545) (153)
Total non-interest expense 1,284 1,054
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest (3,577) (3,017)
Income taxes (1,121) (1,413)
Net income (2,456) (1,604)
Less: Preferred stock dividends 1,669 2,151
Net Income (Loss) Available to Common Stockholders, Basic (4,125) (3,755)
Revenues from (expenses to) external customers $ (2,293) $ (1,963)