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FDIC Indemnification Asset and True-up Payment Obligation (FDIC Indemnification Asset Roll Forward) (Details) - USD ($) | 3 Months Ended | 9 Months Ended
--- | --- | ---
Sep. 30, 2017 | Sep. 30, 2016 | Sep. 30, 2017 | Sep. 30, 2016
FDIC Indemnification Asset [Roll Forward] |  |  |  |
Balance | $ 0 | $ 18,426,000 | $ 14,411,000 | $ 22,599,000
Shared-loss agreements reimbursements expected from the FDIC | 0 | (87,000) | 0 | (824,000)
Increase (decrease) in expected credit losses to be covered under shared-loss agreements, net | 0 | 818,000 | 0 | 3,213,000
FDIC indemnification asset, expense | 0 | (1,910,000) | (1,403,000) | 6,179,000
Net (reimbursements) expenses incurred under shared-loss agreements | 0 | (577,000) | 0 | (2,139,000)
Balance | 0 | 16,670,000 | 0 | 16,670,000
True-up payment obligation [Roll Forward] |  |  |  |
Balance | 0 | 25,771,000 | 26,786,000 | 24,658,000
Change in true-up payment obligation expense | 0 | 508,000 | 0 | 1,621,000
Shared-loss termination settlement, liability | 0 | 0 | (26,786,000) | 0
Balance | $ 0 | $ 26,279,000 | $ 0 | $ 26,279,000

X
- Definition Increases of the clawback liability due to a decline ain expected losses of loans under sharing agreements. + References No definition available. + Details
Name: | ofg_FdicClawbackLiability
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Amount of increases to the indemnification asset due to additional estimated expenses assumed by the Federal Deposit Insurance Corporation (FDIC), relating to loss sharing agreements with the FDIC. + References No definition available. + Details
Name: | ofg_FdicIndemnificationAssetAdditionalEstimatedExpenses
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- 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

X
- References No definition available. + Details
Name: | ofg_FdicIndemnificationLiabilityRollForward
Namespace Prefix: | ofg_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

X
- Definition Increase Decrease In Expected Credit Losses To Be Covered Under Shared Loss Agreements Net + References No definition available. + Details
Name: | ofg_IncreaseDecreaseInExpectedCreditLossesToBeCoveredUnderSharedLossAgreementsNet
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Definition Amount expected to be received as agreed with the FDIC resulted from the FDIC acquistion transaction. + References No definition available. + Details
Name: | ofg_SharedLossAgreementsReimbursementsExpectedFromTheFdic
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition True-up payment obligation settlement due to FDIC shared-loss termination agreement. + References No definition available. + Details
Name: | ofg_SharedLossTerminationSettlementLiability
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- References No definition available. + Details
Name: | ofg_TrueUpPaymentObligation
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition Carrying amount of receivable assets originating from the indemnification agreement with the Federal Deposit Insurance Corporation (FDIC), in which the FDIC is to partially cover losses. + References No definition available. + Details
Name: | us-gaap_FDICIndemnificationAsset
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period. + References No definition available. + Details
Name: | us-gaap_FDICIndemnificationAssetRollForward
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration