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Fair Value - Estimated fair value and related carrying amount, of the Company's financial instruments (Details) - USD ($)
$ in Thousands
 3 Months Ended
Mar. 31, 2024
Mar. 31, 2023
Dec. 31, 2023
Financial assets:      
Trading securities $ 66,188   $ 31,321
SBA servicing asset 6,400   6,000
Financial liabilities:      
Other derivative financial instruments (mortgage banking related) 150,302 $ (227,559)  
Carrying Amount      
Financial assets:      
Cash and cash equivalents 1,209,457   998,877
Trading securities 66,188   31,321
Investment securities 7,232,274   7,463,871
Loans held for sale 56,553   50,888
Loans, net of allowance for credit losses 32,197,656   31,931,916
Accrued interest receivable 160,519   154,400
Mortgage servicing rights 87,970   85,164
SBA servicing asset 6,367   5,952
Interest rate swap - non-designated hedge 174,373   169,180
Other derivative financial instruments (mortgage banking related) $ 2,411   $ 3,759
Derivative Asset, Statement of Financial Position [Extensible Enumeration] Derivative Asset, Noncurrent   Derivative Asset, Noncurrent
Financial liabilities:      
Noninterest-bearing $ 10,546,410   $ 10,649,274
Interest-bearing other than time deposits 22,351,423   22,149,682
Time deposits 4,280,601   4,249,953
Federal funds purchased and securities sold under agreements to repurchase 554,691   489,185
Corporate and subordinated debentures 391,812   391,904
Other borrowings     100,000
Accrued interest payable 44,873   56,808
Interest rate swap - non-designated hedge 954,297   803,539
Other derivative financial instruments (mortgage banking related)     947
Other derivative financial instruments (mortgage banking related) 491    
Fair Value      
Financial assets:      
Cash and cash equivalents 1,209,457   998,877
Trading securities 66,188   31,321
Investment securities 6,802,252   7,061,167
Loans held for sale 56,553   50,888
Loans, net of allowance for credit losses 31,124,727   30,709,513
Accrued interest receivable 160,519   154,400
Mortgage servicing rights 87,970   85,164
SBA servicing asset 6,367   5,952
Interest rate swap - non-designated hedge 174,373   169,180
Other derivative financial instruments (mortgage banking related) $ 2,411   $ 3,759
Derivative Asset, Statement of Financial Position [Extensible Enumeration] Derivative Asset, Noncurrent   Derivative Asset, Noncurrent
Financial liabilities:      
Noninterest-bearing $ 10,546,410   $ 10,649,274
Interest-bearing other than time deposits 22,351,423   22,149,682
Time deposits 4,238,055   4,208,498
Federal funds purchased and securities sold under agreements to repurchase 554,691   489,185
Corporate and subordinated debentures 385,574   388,909
Other borrowings     100,000
Accrued interest payable 44,873   56,808
Interest rate swap - non-designated hedge 954,297   803,539
Other derivative financial instruments (mortgage banking related)     947
Other derivative financial instruments (mortgage banking related) 491    
Quoted Prices In Active Markets for Identical Assets (Level 1)      
Financial assets:      
Cash and cash equivalents 1,209,457   998,877
Investment securities 187,285   192,043
Significant Other Observable Inputs (Level 2)      
Financial assets:      
Trading securities 66,188   31,321
Investment securities 6,614,967   6,869,124
Loans held for sale 56,553   50,888
Accrued interest receivable 25,665   26,706
Interest rate swap - non-designated hedge 174,373   169,180
Other derivative financial instruments (mortgage banking related) $ 2,411   $ 3,759
Derivative Asset, Statement of Financial Position [Extensible Enumeration] Derivative Asset, Noncurrent   Derivative Asset, Noncurrent
Financial liabilities:      
Noninterest-bearing $ 10,546,410   $ 10,649,274
Interest-bearing other than time deposits 22,351,423   22,149,682
Time deposits 4,238,055   4,208,498
Federal funds purchased and securities sold under agreements to repurchase 554,691   489,185
Corporate and subordinated debentures 385,574   388,909
Other borrowings     100,000
Accrued interest payable 44,873   56,808
Interest rate swap - non-designated hedge 954,297   803,539
Other derivative financial instruments (mortgage banking related)     947
Other derivative financial instruments (mortgage banking related) 491    
Significant Unobservable Inputs (Level 3)      
Financial assets:      
Loans, net of allowance for credit losses 31,124,727   30,709,513
Accrued interest receivable 134,854   127,694
Mortgage servicing rights 87,970   85,164
SBA servicing asset $ 6,367   $ 5,952