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Fair value of financial instruments - Carrying or notional amounts and estimated fair values for financial instruments (Details) - USD ($)
$ in Thousands
Jun. 30, 2019
Dec. 31, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2017
Carrying amount          
Financial Assets:          
Cash and due from banks $ 391,703 $ 394,035      
Money market investments 3,172,116 4,171,048      
Trading account debt securities, excluding derivatives 35,623 37,787      
Debt securities available-for-sale, at fair value 16,734,722 13,300,184      
Debt securities held-to-maturity, at amortized cost 99,599 101,575      
Equity securities:          
FHLB Stock 55,965 51,628      
FRB stock 91,680 89,358      
Other investments 20,509 14,598      
Equity securities 168,154 155,584      
Loans held-for-sale 54,028 51,422      
Loans held in portfolio, net 26,462,079 25,938,541      
Mortgage servicing rights 153,021 169,777      
Derivatives 14,792 13,603      
Deposits          
Demand deposits 34,146,573 32,093,274      
Time deposits 7,913,264 7,616,765      
Total deposits 42,059,837 39,710,039      
Assets sold under agreements to repurchase 233,091 281,529      
Other short-term borrowings 160,000 42      
Notes payable:          
Advances with the FHLB 532,017 556,776      
Unsecured senior debt securities 294,673 294,039      
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 384,889 384,875      
Capital lease obligations   20,412      
Notes Payable 1,211,579 1,256,102      
Derivatives 14,233 12,320      
Cash and due from banks 391,703 394,035      
Money market investments 3,172,116 4,171,048      
Trading account debt securities, excluding derivatives 35,623 37,787      
Debt securities available-for-sale, at fair value 16,734,722 13,300,184      
Debt securities held-to-maturity, at amortized cost 99,599 101,575      
Equity securities 168,154 155,584      
Loans held in portfolio, net 26,462,079 25,938,541      
Mortgage servicing rights 153,021 169,777 $ 164,025   $ 168,031
Time deposits 7,913,264 7,616,764      
Total deposits 42,059,837 39,710,039      
Assets sold under agreements to repurchase 233,091 281,529      
Other short-term borrowings 160,000 42      
Capital lease obligations 0 20,412      
Notes Payable 1,211,579 1,256,102      
Contingent consideration       $ 171,000  
Fair Value          
Financial Assets:          
Cash and due from banks 391,703 394,035      
Money market investments 3,172,116 4,171,048      
Trading account debt securities, excluding derivatives 35,623 37,787      
Debt securities available-for-sale, at fair value 16,734,722 13,300,184      
Debt securities held-to-maturity, at amortized cost 105,834 102,653      
Equity securities:          
FHLB Stock 55,965 51,628      
FRB stock 91,680 89,358      
Other investments 26,126 18,835      
Equity securities 173,771 159,821      
Loans held-for-sale 55,338 52,474      
Loans held in portfolio, net 24,459,100 23,143,027      
Mortgage servicing rights 153,021 169,777      
Derivatives 14,792 13,603      
Deposits          
Demand deposits 34,146,573 32,093,274      
Time deposits 7,777,200 7,392,698      
Total deposits 41,923,773 39,485,972      
Assets sold under agreements to repurchase 232,709 281,535      
Other short-term borrowings 160,000 42      
Notes payable:          
Advances with the FHLB 538,784 553,111      
Unsecured senior debt securities 313,647 302,664      
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 397,722 381,079      
Capital lease obligations   20,412      
Notes Payable 1,250,153 1,257,266      
Derivatives 14,233 12,320      
Obligations of Puerto Rico, States and political subdivisions | Carrying amount          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 87,488 89,459      
Obligations of Puerto Rico, States and political subdivisions          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 87,488 89,459      
Obligations of Puerto Rico, States and political subdivisions | Fair Value          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 93,721 90,534      
Collateralized Mortgage Obligations - Federal agencies | Carrying amount          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 50 55      
Collateralized Mortgage Obligations - Federal agencies          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 50 55      
Collateralized Mortgage Obligations - Federal agencies | Fair Value          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 52 58      
Securities in wholly owned statutory business trusts | Carrying amount          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 11,561 11,561      
Securities in wholly owned statutory business trusts          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 11,561 11,561      
Securities in wholly owned statutory business trusts | Fair Value          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 11,561 11,561      
Other | Carrying amount          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 500 500      
Other          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 500 500      
Other | Fair Value          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 500 500      
Level 1 | Fair Value          
Financial Assets:          
Cash and due from banks 391,703 394,035      
Money market investments 3,164,137 4,161,832      
Trading account debt securities, excluding derivatives 3,279 6,278      
Debt securities available-for-sale, at fair value 5,130,255 2,719,740      
Debt securities held-to-maturity, at amortized cost 0 0      
Equity securities:          
FHLB Stock 0 0      
FRB stock 0 0      
Other investments 0 0      
Equity securities 0 0      
Loans held-for-sale 0 0      
Loans held in portfolio, net 0 0      
Mortgage servicing rights 0 0      
Derivatives 0 0      
Deposits          
Demand deposits 0 0      
Time deposits 0 0      
Total deposits 0 0      
Assets sold under agreements to repurchase 0 0      
Other short-term borrowings 0 0      
Notes payable:          
Advances with the FHLB 0 0      
Unsecured senior debt securities 0 0      
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 0 0      
Capital lease obligations   0      
Notes Payable 0 0      
Derivatives 0 0      
Level 1 | Obligations of Puerto Rico, States and political subdivisions | Fair Value          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 0 0      
Level 1 | Collateralized Mortgage Obligations - Federal agencies | Fair Value          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 0 0      
Level 1 | Securities in wholly owned statutory business trusts | Fair Value          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 0 0      
Level 1 | Other | Fair Value          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 0 0      
Level 2 | Fair Value          
Financial Assets:          
Cash and due from banks 0 0      
Money market investments 7,979 9,216      
Trading account debt securities, excluding derivatives 31,232 30,370      
Debt securities available-for-sale, at fair value 11,603,232 10,579,211      
Debt securities held-to-maturity, at amortized cost 12,061 12,061      
Equity securities:          
FHLB Stock 55,965 51,628      
FRB stock 91,680 89,358      
Other investments 19,206 13,296      
Equity securities 166,851 154,282      
Loans held-for-sale 0 0      
Loans held in portfolio, net 0 0      
Mortgage servicing rights 0 0      
Derivatives 14,792 13,603      
Deposits          
Demand deposits 34,146,573 32,093,274      
Time deposits 7,777,200 7,392,698      
Total deposits 41,923,773 39,485,972      
Assets sold under agreements to repurchase 232,709 281,535      
Other short-term borrowings 160,000 42      
Notes payable:          
Advances with the FHLB 538,784 553,111      
Unsecured senior debt securities 313,647 302,664      
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 397,722 381,079      
Capital lease obligations   0      
Notes Payable 1,250,153 1,236,854      
Derivatives 14,233 12,320      
Level 2 | Obligations of Puerto Rico, States and political subdivisions | Fair Value          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 0 0      
Level 2 | Collateralized Mortgage Obligations - Federal agencies | Fair Value          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 0 0      
Level 2 | Securities in wholly owned statutory business trusts | Fair Value          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 11,561 11,561      
Level 2 | Other | Fair Value          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 500 500      
Level 3 | Fair Value          
Financial Assets:          
Cash and due from banks 0 0      
Money market investments 0 0      
Trading account debt securities, excluding derivatives 1,112 1,139      
Debt securities available-for-sale, at fair value 1,235 1,233      
Debt securities held-to-maturity, at amortized cost 93,773 90,592      
Equity securities:          
FHLB Stock 0 0      
FRB stock 0 0      
Other investments 6,920 5,539      
Equity securities 6,920 5,539      
Loans held-for-sale 55,338 52,474      
Loans held in portfolio, net 24,459,100 23,143,027      
Mortgage servicing rights 153,021 169,777      
Derivatives 0 0      
Deposits          
Demand deposits 0 0      
Time deposits 0 0      
Total deposits 0 0      
Assets sold under agreements to repurchase 0 0      
Other short-term borrowings 0 0      
Notes payable:          
Advances with the FHLB 0 0      
Unsecured senior debt securities 0 0      
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 0 0      
Capital lease obligations   20,412      
Notes Payable 0 20,412      
Derivatives 0 0      
Level 3 | Obligations of Puerto Rico, States and political subdivisions | Fair Value          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 93,721 90,534      
Level 3 | Collateralized Mortgage Obligations - Federal agencies | Fair Value          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 52 58      
Level 3 | Securities in wholly owned statutory business trusts | Fair Value          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost 0 0      
Level 3 | Other | Fair Value          
Financial Assets:          
Debt securities held-to-maturity, at amortized cost $ 0 $ 0