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FDIC Indemnification Indemnification Asset and True-up Payment Obligation (Narrative) (Details) - USD ($) $ in Thousands | 9 Months Ended
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Sep. 30, 2018 | Sep. 30, 2017
FDIC-Assisted Acquisition [Abstract] |  |
(Repayment to) reimbursement to the FDIC for the termination of shared-loss agreements | $ 0 | $ (10,125)

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- Definition Payment made for the disolution of the FDIC shared-loss agreement. + References No definition available. + Details
Name: | ofg_RepaymentToTheFdicForTheTerminationOfSharedLossAgreements
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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