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Capital Ratios (Details) (USD $)
0 Months Ended 3 Months Ended
Jan. 01, 2015
Mar. 31, 2015
Dec. 31, 2014
Jul. 31, 2013
Common Equity Tier 1 ("CET1") ratio   15.60%iboc_CommonEquityTierOneRatio    
Tier 1 Capital (to Average Assets), Actual Ratio (as a percent)   12.27%us-gaap_TierOneLeverageCapitalToAverageAssets 12.33%us-gaap_TierOneLeverageCapitalToAverageAssets  
Tier 1 Capital (to Risk Weighted Assets), Actual Ratio (as a percent)   17.83%us-gaap_TierOneRiskBasedCapitalToRiskWeightedAssets 19.34%us-gaap_TierOneRiskBasedCapitalToRiskWeightedAssets  
Total Capital (to Risk Weighted Assets), Actual Ratio (as a percent) 4.50%us-gaap_CapitalToRiskWeightedAssets 18.67%us-gaap_CapitalToRiskWeightedAssets 20.24%us-gaap_CapitalToRiskWeightedAssets  
Total Capital (to Risk Weighted Assets), For Capital Adequacy Purposes Ratio (as a percent) 2.50%us-gaap_CapitalRequiredForCapitalAdequacyToRiskWeightedAssets      
Term of mandatory compliance 4 years      
Percentage of capital securities issued by trust qualifying as Tier I capital, maximum   25.00%iboc_MaximumPercentageOfCapitalSecuritiesIssuedByTrustQualifyingAsTierOneCapital    
Percentage of capital securities issued by trust qualifying as Tier II capital, minimum   25.00%iboc_MinimumPercentageOfCapitalSecuritiesIssuedByTrustQualifyingAsTierTwoCapital    
Capital securities issued by the trust, qualifying as Tier I capital   $ 175,416,000iboc_CapitalSecuritiesIssuedByTrustQualifyingAsTierOneCapital    
Minimum        
Common Equity Tier 1 ("CET1") ratio   7.00%iboc_CommonEquityTierOneRatio
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
   
Tier 1 Capital (to Risk Weighted Assets), Actual Ratio (as a percent)       4.00%us-gaap_TierOneRiskBasedCapitalToRiskWeightedAssets
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
Forecast        
Total Capital (to Risk Weighted Assets), For Capital Adequacy Purposes Ratio (as a percent)   0.625%us-gaap_CapitalRequiredForCapitalAdequacyToRiskWeightedAssets
/ us-gaap_StatementScenarioAxis
= us-gaap_ScenarioForecastMember