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Commitments, Contingent Liabilities and Other Matters (Details) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Commitments, Contingent Liabilities and Other Matters      
Total rental expense $ 7,200,000us-gaap_OperatingLeasesRentExpenseNet $ 7,300,000us-gaap_OperatingLeasesRentExpenseNet $ 8,300,000us-gaap_OperatingLeasesRentExpenseNet
Future minimum lease payments due under non-cancellable operating leases      
2014 3,505,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueCurrent    
2015 2,454,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueInTwoYears    
2016 1,168,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueInThreeYears    
2017 631,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFourYears    
2018 157,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFiveYears    
Thereafter 122,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueThereafter    
Total 8,037,000us-gaap_OperatingLeasesFutureMinimumPaymentsDue    
Minimum period for non-cancellable sub-leases 1 year    
Aggregate future minimum rentals to be received under non-cancellable sub-leases 85,875,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueFutureMinimumSubleaseRentals    
Approximate cash maintained to satisfy regulatory reserve requirements $ 106,841,000iboc_CashReserveToSatisfyRegulatoryReserveRequirements $ 96,087,000iboc_CashReserveToSatisfyRegulatoryReserveRequirements