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Loans Receivable (Narratives) (Details) - USD ($) $ in Millions | Sep. 30, 2018 | Dec. 31, 2017
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Accounts Notes And Loans Receivable Line Items |  |
Financing Receivable Modifications Recorded Investment Not Included In Non Accrual | $ 97.7 | $ 109.2
Originated Loans Granted To Puerto Rico Government | 91.4 | 94.9
Acquired Credit Facilities Granted to the Puerto Rico Public Corporation | 44.0 | 50.3
Impaired Commercial Loans | 69.6 | 72.3
Allowance for impaired commercial loans | 7.6 | 10.6
Impaired Mortgage Loans | 85.1 | 85.4
Allowance For Impaired Mortgage Loans | 10.6 | 9.1
Current but placed in non-accrual due to credit deterioration | $ 23.6 | $ 20.1

X
- Definition The related allowance to impaired commercial loans. + References No definition available. + Details
Name: | ofg_AllowanceForCommercialImpairedLoans
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition The related allowance to impaired commercial loans. + References No definition available. + Details
Name: | ofg_AllowanceForMortgageImpairedLoans
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition Loans that are current in their monthly payments, but placed in non-accrual due to credit deterioration + References No definition available. + Details
Name: | ofg_CurrentPlacedInNonaccrual
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition The amount of the outstanding recorded investment related to financing receivables that have been modified by troubled debt restructurings, and are not in non-accrual status. + References No definition available. + Details
Name: | ofg_FinancingReceivableModificationsRecordedInvestmentNotIncludedInNonAccrual
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Commercial loans on a non-accrual basis, or which are past due ninety days or more and still accruing interest, or have been renegotiated to provide a reduction or deferral of interest because of a weakening in the financial position of the borrowers. + References No definition available. + Details
Name: | ofg_ImpairedCommercialLoans
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition Mortgage loans on a non-accrual basis, or which are past due ninety days or more and still accruing interest, or have been renegotiated to provide a reduction or deferral of interest because of a weakening in the financial position of the borrowers. + References No definition available. + Details
Name: | ofg_ImpairedMortgageLoans
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition Total amount of credit facilities granted to the Puerto Rico Public Corporations as part of the institutional commercial loan segment. + References No definition available. + Details
Name: | ofg_LineOfCreditFacilityMaximumBorrowingCapacityGrantedToPublicCorporations
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition Total amount of loans granted to Puerto Rico Government as part of the institutional commercial loan segment. + References No definition available. + Details
Name: | ofg_LoansGrantedToPuertoRicoGovernment
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. + References No definition available. + Details
Name: | us-gaap_AccountsNotesAndLoansReceivableLineItems
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration