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FDIC Indemnification Indemnification Asset and True-up Payment Obligation (Narrative) (Details) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended
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Sep. 30, 2017 | Mar. 31, 2017 | Sep. 30, 2016 | Sep. 30, 2017 | Sep. 30, 2016
FDIC-Assisted Acquisition [Abstract] |  |  |  |  |
FDIC indemnification asset, expense | $ 0 |  | $ 1,910 | $ 1,403 | $ (6,179)
(Repayment to) reimbursement to the FDIC for the termination of shared-loss agreements |  | $ 10,100 |  | $ (10,125) | $ 824

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- Definition Increases to the indemnification asset due to accretion of the loan discount relating to loss sharing agreements with the Federal Deposit Insurance Corporation (FDIC), excluding the clawback provision. + References No definition available. + Details
Name: | ofg_FdicIndemnificationAssetExpense
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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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