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Capital Requirements (Details) (USD $)
0 Months Ended 12 Months Ended 48 Months Ended 0 Months Ended
Nov. 28, 2012
Dec. 31, 2014
Dec. 31, 2012
Nov. 28, 2012
Feb. 20, 2015
Series A cumulative perpetual preferred shares, aggregate liquidation value   $ 216,000,000us-gaap_PreferredStockLiquidationPreferenceValue      
Series A cumulative perpetual preferred shares, issued   216,000us-gaap_PreferredStockSharesIssued      
Series A cumulative perpetual preferred shares, par value (in dollars per share)   $ 0.01us-gaap_PreferredStockParOrStatedValuePerShare      
Series A cumulative perpetual preferred shares, per share liquidation value (in dollars per share)   $ 1,000us-gaap_PreferredStockLiquidationPreference      
Warrants to purchase entity's common stock (in shares)   1,326,238us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights      
Warrants, exercise price (in dollars per share)   $ 24.43us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1      
Warrants, term   10 years      
Senior preferred stock, dividend rate for first five years (as a percent)   5.00%iboc_PreferredStockDividendRatePercentageForFirstFiveYears      
Senior preferred stock, dividend rate thereafter (as a percent)   9.00%iboc_PreferredStockDividendRatePercentageThereafter      
Senior Preferred Stock held by Treasury repurchased (in shares) 216,000us-gaap_StockRepurchasedDuringPeriodShares        
Redemption of senior preferred shares     216,000,000us-gaap_PaymentsForRepurchaseOfPreferredStockAndPreferenceStock    
Preferred stock dividends to the U.S. Treasury     10,260,000us-gaap_PaymentsOfDividendsPreferredStockAndPreferenceStock 41,520,139us-gaap_PaymentsOfDividendsPreferredStockAndPreferenceStock  
Dividend payable by subsidiaries, maximum   $ 702,750,000iboc_MaximumDividendIncomeToBeReceivedFromSubsidiaries      
Subsequent Event          
Warrants, exercise price (in dollars per share)         $ 24.43us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1
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Cash dividends (as a percent)         33.00%iboc_MaximumPercentageOfCashDividendsInExcess
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