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FDIC Shared-Loss Agreements (FDIC Indemnification Asset Roll Forward) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2019	Dec. 31, 2018	Dec. 31, 2017
F D I C Indemnification Asset [Roll Forward]
Balance	$ 0	$ 0	$ 14,411
FDIC indemnification asset, benefit	0	0	1,403
Shared-loss termination settlement	0	0	(15,814)
Balance	0	0	0
Tru-up payment obligation [Roll Forward]
Balance	0	0	26,786
Change in true-up payment obligation expense	0	0	0
Shared-loss termination settlement, liability	0	0	(26,786)
Balance	$ 0	$ 0	$ 0

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

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

- Definition

Fdic Indemnification Liability [Roll Forward]

+ References

No definition available.

+ Details

Name:	ofg_FdicIndemnificationLiabilityRollForward
Namespace Prefix:	ofg_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Benefit resulting from the termination of the shered-loss agreement with the FDIC.

+ References

No definition available.

+ Details

Name:	ofg_SharedLossTerminationBenefit
Namespace Prefix:	ofg_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
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

- Definition

True Up Payment Obligation

+ 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