Commitments and contingencies - Commitments - Additional Information (Details) - USD ($) $ in Thousands	9 Months Ended	12 Months Ended
Sep. 30, 2023	Dec. 31, 2022
Commitments and Contingencies Disclosure [Line Items]
Loans And Leases Receivable Gross Carrying Amount	$ 34,369,775	$ 32,372,925
Commitments to extend credit
Commitments and Contingencies Disclosure [Line Items]
Reserve of potential losses associated with unfunded loan commitments	13,300	8,800
Noncredit commitment
Commitments and Contingencies Disclosure [Line Items]
Investments	3,300	4,800
Residential mortgage loans
Commitments and Contingencies Disclosure [Line Items]
Loans And Leases Receivable Gross Carrying Amount	1,700,000	1,600,000
Paycheck Protection Program
Commitments and Contingencies Disclosure [Line Items]
Loans And Leases Receivable Gross Carrying Amount	10,000	38,000
BVI \| Retail and commerical loans
Commitments and Contingencies Disclosure [Line Items]
Loans And Leases Receivable Gross Carrying Amount	201,000	214,000
Insured or guaranteed by the U.S. Government or its agencies \| Commercial Loans
Commitments and Contingencies Disclosure [Line Items]
Loans And Leases Receivable Gross Carrying Amount	72,000	72,000
PR Government direct exposure
Commitments and Contingencies Disclosure [Line Items]
Outstanding concentration of risk	332,588	327,000
Total concentration of risk	$ 361,588	374,000
Exposure Municipal Loans And Securities	76.00%
PR Government direct exposure \| Loans
Commitments and Contingencies Disclosure [Line Items]
Outstanding concentration of risk	$ 313,728	302,000
PR Government direct exposure \| Securities Investment
Commitments and Contingencies Disclosure [Line Items]
Outstanding concentration of risk	18,860	25,000
PR Government Indirect Exposure
Commitments and Contingencies Disclosure [Line Items]
Outstanding concentration of risk	242,000	251,000
Loans and Leases Receivable, Consumer, Mortgage with PRHA	195,000	209,000
PR Government Indirect Exposure \| PR Housing Bonds backed by second mortgage loans
Commitments and Contingencies Disclosure [Line Items]
Outstanding concentration of risk	40,000	42,000
USVI Government Direct Exposure \| From USVI Government And Public Corporations
Commitments and Contingencies Disclosure [Line Items]
Total concentration of risk	$ 28,000	$ 28,000

Commitments and Contingencies Disclosure [Line Items]

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Concentration of Risk Credit Facilities with the Puerto Rico government that is outstanding.

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The Corporations exposure to municipal loans and securities was concentrated in the municipalities of San Juan, Guaynabo, Carolina and Bayamon.

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Amount before allowance of consumer mortgage held and guaranteed by the Puerto Rico Housing Authority.

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Maximum amount of loss due to credit risk that, based on the gross fair value of the financial instrument, the entity would incur if parties to the financial instruments that make up the concentration failed completely to perform according to the terms of the contracts and the collateral or other security, if any, for the amount due proved to be of no value to the entity.

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Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 825
-SubTopic 10
-Section 50
-Paragraph 21
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Sum of the carrying amounts as of the balance sheet date of all investments.

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Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
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-SubTopic 210
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Amount before allowance of loans and leases held in portfolio, including but not limited to, commercial and consumer loans. Includes deferred interest and fees, undisbursed portion of loan balance, unamortized costs and premiums and discounts from face amounts. Excludes loans and leases covered under loss sharing agreements.

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Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
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Amount of valuation and qualifying accounts and reserves.

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Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 235
-SubTopic 10
-Section S99
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