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Note Stockholders' equity - Additional Information (Detail) - USD ($)
$ / shares in Units, $ in Thousands
 1 Months Ended 3 Months Ended 12 Months Ended
Feb. 28, 2019
Mar. 31, 2019
Dec. 31, 2018
Sep. 30, 2018
Mar. 31, 2017
Dec. 31, 2016
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Jan. 23, 2019
Stockholders Equity Note                    
Puerto Rico Laws Restrictions On Banks Net Income             a minimum of 10% of BPPR’s net income      
Equity Restrictions     $ 599,000     $ 513,000 $ 599,000 $ 540,000 $ 513,000  
Transfers To Statutory Reserve             $ 0 $ 0 $ 0  
Common Stock, Dividends, Per Share, Cash Paid             $ 1 $ 1 $ 0.6  
Dividends, Common Stock, Cash             $ 101,293 $ 102,136 $ 62,234  
Dividends Payable     25,100     $ 15,600 $ 25,100 25,500 15,600  
Dividend payable, to be paid date             Jan. 02, 2019      
Dividends payable, record date             Dec. 05, 2018      
Initial shares received as part of an accelerated share repurchase program       2,000,000            
Common stock purchases             $ 127,465 77,420 2,202  
Accelerated share repurchases settlement receipt     $ 125,000       125,000      
Preferred stock, cash dividend             $ 3,723 $ 3,723 3,723  
Preferred stock, shares outstanding     2,006,391       2,006,391 2,006,391    
Common stock shares outstanding     99,942,845       99,942,845 102,068,981    
Common Shares Repurchased Accelerated Share Repurchase Agreements     438,180              
Accelerated share repurchases price paid per share     $ 51.27              
Preferred stock, shares authorized     30,000,000       30,000,000 30,000,000    
Dividends Declared per Common Share     $ 0.25   $ 0.25 $ 0.15        
Treasury Stock                    
Stockholders Equity Note                    
Common stock purchases             $ 127,379 $ 81,938 2,202  
Surplus                    
Stockholders Equity Note                    
Transfers To Statutory Reserve             58,340 27,135 18,384  
Common stock purchases             $ 86 (4,518)    
Subsequent event                    
Stockholders Equity Note                    
Stock Repurchase Program Authorized Amount                   $ 250,000
Dividend payable, to be paid date Apr. 01, 2019                  
Dividends payable, record date Mar. 08, 2019                  
Dividends Declared per Common Share $ 0.3 $ 0.3                
Accelerate Share Repurchase [Member]                    
Stockholders Equity Note                    
Stock Repurchase Program Authorized Amount         $ 75,000          
Accelerated Share Repurchase Program Adjustment         4,500          
Common stock purchases         $ 79,500          
Stock Repurchased During Period Shares         1,847,372          
Accelerate Share Repurchase [Member] | Subsequent event                    
Stockholders Equity Note                    
Stock Repurchase Program Authorized Amount $ 250,000                  
Accelerate Share Repurchase [Member] | Subsequent event | Treasury Stock                    
Stockholders Equity Note                    
Common stock purchases 200,000                  
Accelerate Share Repurchase [Member] | Subsequent event | Surplus                    
Stockholders Equity Note                    
Common stock purchases $ 50,000                  
Series A Preferred Stock                    
Stockholders Equity Note                    
Preferred Stock, Redemption Price Per Share     25       $ 25      
Preferred Stock, Liquidation Preference Per Share     $ 25       25      
Preferred Stock, Dividends, Per Share, Cash Paid             $ 0.1328125      
Preferred Stock, Dividend Rate, Percentage             6.375%      
Preferred stock, cash dividend             $ 1,400 1,400 1,400  
Dividend preferred stock cash paid     $ 1,400     $ 1,400 $ 1,400 $ 1,400 $ 1,400  
Preferred stock, shares outstanding     885,726     885,726 885,726 885,726 885,726  
Series B Preferred Stock                    
Stockholders Equity Note                    
Preferred Stock, Redemption Price Per Share     $ 25       $ 25      
Preferred Stock, Liquidation Preference Per Share     $ 25       25      
Preferred Stock, Dividends, Per Share, Cash Paid             $ 0.171875      
Preferred Stock, Dividend Rate, Percentage             8.25%      
Preferred stock, cash dividend             $ 2,300 $ 2,300 $ 2,300  
Dividend preferred stock cash paid     $ 2,300     $ 2,300 $ 2,300 $ 2,300 $ 2,300  
Preferred stock, shares outstanding     1,120,665     1,120,665 1,120,665 1,120,665 1,120,665