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Commitments (Summarized credit-related financial instruments) (Details) - USD ($) $ in Thousands | Sep. 30, 2018 | Dec. 31, 2017
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Commitments and Contingencies [Abstract] |  |
Commitments To Extend Credit | $ 566,030 | $ 485,019
Commercial letters credit | 1,464 | 494
Standby letters of credit and financial guarantees | 15,721 | 21,107
Loans sold with recourse | $ 5,490 | $ 6,420

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- Definition Amount of the contingent obligation under letters of credit. + References No definition available. + Details
Name: | ofg_CommercialLettersCredit
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Loan commitments are legally binding commitments to extend credit to a counterparty under certain terms and conditions. + References No definition available. + Details
Name: | ofg_CommitmentsToExtendCredit
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Commitments to borrowers or third party investors for the origination of a loan. + References No definition available. + Details
Name: | ofg_LoansSoldWithRecourse
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition An irrevocable undertaking (typically by a financial institution) to guarantee payment of a specified financial obligation. + References No definition available. + Details
Name: | ofg_StandbyLettersOfCreditAndFinancialGuarantees
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- References No definition available. + Details
Name: | us-gaap_CommitmentsAndContingenciesDisclosureAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration