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Shareholders' Equity, Capital Ratios and Other Regulatory Matters - Shareholders' Equity, Capital Ratios and Other Regulatory Matters (Details) - USD ($)
$ / shares in Units, $ in Thousands
3 Months Ended 12 Months Ended
Aug. 01, 2024
May 01, 2024
Apr. 04, 2019
May 09, 2016
Aug. 05, 2015
Sep. 30, 2019
Dec. 31, 2019
Dec. 31, 2018
Class of Stock [Line Items]                
Preferred stock, shares issued (in shares)             23,750 13,750
Preferred stock, par value (in usd per share)             $ 1 $ 1
Liquidation preference (in usd per share)             $ 10,000 $ 10,000
Liquidation Amount       $ 237,500        
Shares authorized to be repurchased (in shares)             1,165,000  
Series B Preferred Stock                
Class of Stock [Line Items]                
Annual Dividend Rate         6.625%      
Liquidation Amount         $ 80,000      
Series B Preferred Stock | 3 Month LIBOR Rate                
Class of Stock [Line Items]                
Variable dividend rate per share         4.262%      
Series C Preferred Stock                
Class of Stock [Line Items]                
Annual Dividend Rate       6.60%        
Liquidation Amount       $ 57,500        
Series C Preferred Stock | 3 Month LIBOR Rate                
Class of Stock [Line Items]                
Variable dividend rate per share       4.92%        
Series D Preferred Stock                
Class of Stock [Line Items]                
Preferred Stock, Ownership Interest Per Depositary Share     0.25%          
Annual Dividend Rate     6.10%          
Preferred stock, par value (in usd per share)     $ 1.00          
Liquidation preference (in usd per share)     $ 10,000          
Liquidation Amount     $ 100,000          
Series D Depositary Shares                
Class of Stock [Line Items]                
Preferred stock, shares issued (in shares)     4,000,000          
Liquidation preference (in usd per share)     $ 25          
Common Stock                
Class of Stock [Line Items]                
Common stock repurchases (in shares)             (2,700,000) (1,972,500)
2018 Share Repurchase Plan | Common Stock                
Class of Stock [Line Items]                
Number of shares authorized to be repurchased (in shares)               2,765,000
2019 Share Repurchase Program | Common Stock                
Class of Stock [Line Items]                
Number of shares authorized to be repurchased (in shares)           1,600,000    
Stock repurchase percentage           3.00%    
2016 and 2018 Share Repurchase Program                
Class of Stock [Line Items]                
Average cost of common stock shares repurchased (in usd per share)             $ 75.83 $ 75.46
2016 and 2018 Share Repurchase Program | Common Stock                
Class of Stock [Line Items]                
Common stock repurchases (in shares)             2,700,000 1,972,500
Common stock repurchased, weighted average price             $ 204,700 $ 148,900
IBERIABANK                
Class of Stock [Line Items]                
Additional amount of dividends after annual earnings             199,600  
Funds available for loans or advances by parent             $ 311,300  
Forecast | Series D Preferred Stock                
Class of Stock [Line Items]                
Annual Dividend Rate   6.10%            
Variable dividend rate per share 3.859%