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Fair Value of Financial Instruments - Estimated Fair Values and Carrying Amounts of Financial Instruments (Detail) (USD $)
In Thousands, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Dec. 31, 2011
Financial Assets        
Cash and cash equivalents $ 548,095us-gaap_CashAndCashEquivalentsAtCarryingValue $ 391,396us-gaap_CashAndCashEquivalentsAtCarryingValue $ 970,977us-gaap_CashAndCashEquivalentsAtCarryingValue $ 573,296us-gaap_CashAndCashEquivalentsAtCarryingValue
Loans and loans held for sale, net of unearned income 11,581,116ibkc_LoansAndLoansHeldForSale 9,620,461ibkc_LoansAndLoansHeldForSale 8,766,055ibkc_LoansAndLoansHeldForSale  
FDIC loss share receivable 69,627us-gaap_FDICIndemnificationAsset 162,312us-gaap_FDICIndemnificationAsset    
Financial Liabilities        
Deposits 12,520,525us-gaap_Deposits 10,737,000us-gaap_Deposits 10,748,277us-gaap_Deposits  
Short-term borrowings 845,742us-gaap_ShortTermBorrowings 680,344us-gaap_ShortTermBorrowings 303,045us-gaap_ShortTermBorrowings  
Long-term debt 403,254us-gaap_LongTermDebt 280,699us-gaap_LongTermDebt    
Carrying Amount [Member]        
Financial Assets        
Cash and cash equivalents 548,095us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
391,396us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Investment securities 2,275,813us-gaap_MarketableSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
2,090,906us-gaap_MarketableSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Loans and loans held for sale, net of unearned income 11,581,116ibkc_LoansAndLoansHeldForSale
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
9,620,461ibkc_LoansAndLoansHeldForSale
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
FDIC loss share receivable 69,627us-gaap_FDICIndemnificationAsset
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
162,312us-gaap_FDICIndemnificationAsset
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Derivative instruments 32,903us-gaap_DerivativeAssets
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
30,076us-gaap_DerivativeAssets
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Accrued interest receivable 37,696us-gaap_InterestReceivable
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
32,143us-gaap_InterestReceivable
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Financial Liabilities        
Deposits 12,520,525us-gaap_Deposits
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
10,737,000us-gaap_Deposits
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Short-term borrowings 845,742us-gaap_ShortTermBorrowings
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
680,344us-gaap_ShortTermBorrowings
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Long-term debt 403,254us-gaap_LongTermDebt
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
280,699us-gaap_LongTermDebt
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Derivative instruments 31,354us-gaap_DerivativeLiabilities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
26,735us-gaap_DerivativeLiabilities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Accrued interest payable 8,258us-gaap_InterestPayableCurrent
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
6,102us-gaap_InterestPayableCurrent
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Fair Value [Member]        
Financial Assets        
Cash and cash equivalents 548,095us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
391,396us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
   
Investment securities 2,278,334us-gaap_MarketableSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
2,089,363us-gaap_MarketableSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
   
Loans and loans held for sale, net of unearned income 11,605,446ibkc_LoansAndLoansHeldForSale
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
9,724,432ibkc_LoansAndLoansHeldForSale
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
   
FDIC loss share receivable 19,606us-gaap_FDICIndemnificationAsset
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
21,918us-gaap_FDICIndemnificationAsset
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
   
Derivative instruments 32,903us-gaap_DerivativeAssets
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
30,076us-gaap_DerivativeAssets
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
   
Accrued interest receivable 37,696us-gaap_InterestReceivable
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
32,143us-gaap_InterestReceivable
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
   
Financial Liabilities        
Deposits 12,298,017us-gaap_Deposits
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
10,226,573us-gaap_Deposits
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
   
Short-term borrowings 845,742us-gaap_ShortTermBorrowings
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
680,344us-gaap_ShortTermBorrowings
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
   
Long-term debt 376,139us-gaap_LongTermDebt
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
235,503us-gaap_LongTermDebt
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
   
Derivative instruments 31,354us-gaap_DerivativeLiabilities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
26,735us-gaap_DerivativeLiabilities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
   
Accrued interest payable $ 8,258us-gaap_InterestPayableCurrent
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
$ 6,102us-gaap_InterestPayableCurrent
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember