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Fair value measurement - Assets and liabilities measured at fair value on a recurring basis (Details) - USD ($) $ in Thousands	Sep. 30, 2022	Dec. 31, 2021	Sep. 30, 2021	Dec. 31, 2020
Assets
Debt securities available-for-sale	$ 28,264,148	$ 24,968,269
Mortgage servicing rights	130,541	121,570	$ 116,567	$ 118,395
US Treasury Securities
Assets
Debt securities available-for-sale	21,505,922	15,859,030
Obligations of U.S. Government sponsored entities
Assets
Debt securities available-for-sale		70
Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	176,204	221,265
Mortgage Backed Securities
Assets
Debt securities available-for-sale	6,580,948	8,887,776
Other
Assets
Debt securities available-for-sale	1,074	128
Recurring
Assets
Debt securities available-for-sale	28,264,148	24,968,269
Trading account debt securities, excluding derivatives	30,271	29,711
Equity securities at fair value	27,054	32,506
Mortgage servicing rights	130,541	121,570
Derivatives	16,653	26,093
Total assets measured at fair value on a recurring basis	28,468,667	25,178,149
Liabilities
Derivatives	(14,776)	(22,878)
Contingent consideration		(9,241)
Total	(14,776)	(32,119)
Recurring \| US Treasury Securities
Assets
Debt securities available-for-sale	21,505,922	15,859,030
Trading account debt securities, excluding derivatives	15,711	6,530
Recurring \| Obligations of U.S. Government sponsored entities
Assets
Debt securities available-for-sale		70
Recurring \| Obligations of Puerto Rico, States and political subdivisions
Assets
Trading account debt securities, excluding derivatives	66	85
Recurring \| Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	176,204	221,265
Recurring \| CMO
Assets
Trading account debt securities, excluding derivatives	183	257
Recurring \| Mortgage Backed Securities
Assets
Debt securities available-for-sale	6,580,948	8,887,776
Trading account debt securities, excluding derivatives	14,056	22,559
Recurring \| Other
Assets
Debt securities available-for-sale	1,074	128
Trading account debt securities, excluding derivatives	255	280
Recurring \| Level 1
Assets
Debt securities available-for-sale	5,450,397	0
Trading account debt securities, excluding derivatives	15,711	6,530
Equity securities at fair value	0	0
Mortgage servicing rights	0	0
Derivatives	0	0
Total assets measured at fair value on a recurring basis	5,466,108	6,530
Liabilities
Derivatives	0	0
Contingent consideration		0
Total	0	0
Recurring \| Level 1 \| US Treasury Securities
Assets
Debt securities available-for-sale	5,450,397	0
Trading account debt securities, excluding derivatives	15,711	6,530
Recurring \| Level 1 \| Obligations of U.S. Government sponsored entities
Assets
Debt securities available-for-sale		0
Recurring \| Level 1 \| Obligations of Puerto Rico, States and political subdivisions
Assets
Trading account debt securities, excluding derivatives	0	0
Recurring \| Level 1 \| Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	0	0
Recurring \| Level 1 \| CMO
Assets
Trading account debt securities, excluding derivatives	0	0
Recurring \| Level 1 \| Mortgage Backed Securities
Assets
Debt securities available-for-sale	0	0
Trading account debt securities, excluding derivatives	0	0
Recurring \| Level 1 \| Other
Assets
Debt securities available-for-sale	0	0
Trading account debt securities, excluding derivatives	0	0
Recurring \| Level 2
Assets
Debt securities available-for-sale	22,812,040	24,967,443
Trading account debt securities, excluding derivatives	14,170	22,703
Equity securities at fair value	26,723	32,429
Mortgage servicing rights	0	0
Derivatives	16,653	26,093
Total assets measured at fair value on a recurring basis	22,869,586	25,048,668
Liabilities
Derivatives	(14,776)	(22,878)
Contingent consideration		0
Total	(14,776)	(22,878)
Recurring \| Level 2 \| US Treasury Securities
Assets
Debt securities available-for-sale	16,055,525	15,859,030
Trading account debt securities, excluding derivatives	0	0
Recurring \| Level 2 \| Obligations of U.S. Government sponsored entities
Assets
Debt securities available-for-sale		70
Recurring \| Level 2 \| Obligations of Puerto Rico, States and political subdivisions
Assets
Trading account debt securities, excluding derivatives	66	85
Recurring \| Level 2 \| Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	176,204	221,265
Recurring \| Level 2 \| CMO
Assets
Trading account debt securities, excluding derivatives	48	59
Recurring \| Level 2 \| Mortgage Backed Securities
Assets
Debt securities available-for-sale	6,580,237	8,886,950
Trading account debt securities, excluding derivatives	14,056	22,559
Recurring \| Level 2 \| Other
Assets
Debt securities available-for-sale	74	128
Trading account debt securities, excluding derivatives	0	0
Recurring \| Level 3
Assets
Debt securities available-for-sale	1,711	826
Trading account debt securities, excluding derivatives	390	478
Equity securities at fair value	0	0
Mortgage servicing rights	130,541	121,570
Derivatives	0	0
Total assets measured at fair value on a recurring basis	132,642	122,874
Liabilities
Derivatives	0	0
Contingent consideration		(9,241)
Total	0	(9,241)
Recurring \| Level 3 \| US Treasury Securities
Assets
Debt securities available-for-sale	0	0
Trading account debt securities, excluding derivatives	0	0
Recurring \| Level 3 \| Obligations of U.S. Government sponsored entities
Assets
Debt securities available-for-sale		0
Recurring \| Level 3 \| Obligations of Puerto Rico, States and political subdivisions
Assets
Trading account debt securities, excluding derivatives	0	0
Recurring \| Level 3 \| Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	0	0
Recurring \| Level 3 \| CMO
Assets
Trading account debt securities, excluding derivatives	135	198	220
Recurring \| Level 3 \| Mortgage Backed Securities
Assets
Debt securities available-for-sale	711	826
Trading account debt securities, excluding derivatives	0	0
Recurring \| Level 3 \| Other
Assets
Debt securities available-for-sale	1,000	0
Trading account debt securities, excluding derivatives	255	280	$ 352
Recurring \| NAV
Assets
Debt securities available-for-sale	0	0
Trading account debt securities, excluding derivatives	0	0
Equity securities at fair value	331	77
Mortgage servicing rights	0	0
Derivatives	0	0
Total assets measured at fair value on a recurring basis	331	77
Liabilities
Derivatives	0	0
Contingent consideration		0
Total	0	0
Recurring \| NAV \| US Treasury Securities
Assets
Debt securities available-for-sale	0	0
Trading account debt securities, excluding derivatives	0	0
Recurring \| NAV \| Obligations of U.S. Government sponsored entities
Assets
Debt securities available-for-sale		0
Recurring \| NAV \| Obligations of Puerto Rico, States and political subdivisions
Assets
Trading account debt securities, excluding derivatives	0	0
Recurring \| NAV \| Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	0	0
Recurring \| NAV \| CMO
Assets
Trading account debt securities, excluding derivatives	0	0
Recurring \| NAV \| Mortgage Backed Securities
Assets
Debt securities available-for-sale	0	0
Trading account debt securities, excluding derivatives	0	0
Recurring \| NAV \| Other
Assets
Debt securities available-for-sale	0	0
Trading account debt securities, excluding derivatives	$ 0	$ 0