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FDIC Shared-Loss Agreements (FDIC Indemnification Expense) (Details) - USD ($) $ in Thousands | 12 Months Ended
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Dec. 31, 2018 | Dec. 31, 2017 | Dec. 31, 2016
FDIC-Assisted Acquisition [Abstract] |  |  |
FDIC indemnification asset, expense | $ 0 | $ 1,403 | $ (8,040)
Change in true-up payment obligation expense | 0 | 0 | (2,128)
Reimbursement to FDIC for recoveries | 0 | 0 | (3,413)
Final settlement with the FDIC on commercial loans | 0 | 0 | 0
FDIC shared-loss expense, net | $ 0 | $ 1,403 | $ (13,581)

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- 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 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 FDIC shared-loss expense, net + References No definition available. + Details
Name: | ofg_FdicSharedLossExpenseNet
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Definition Final settlement with the FDIC on commercial loans + References No definition available. + Details
Name: | ofg_FinalSettlementWithTheFdicOnCommercialLoans
Namespace Prefix: | ofg_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Recoveries shared with the FDIC per the loss sharing agreement. + References No definition available. + Details
Name: | ofg_Reimbursementtofdicforrecoveries
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