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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
Mar. 31, 2015
Dec. 31, 2014
Mar. 31, 2014
Dec. 31, 2013
Financial Assets        
Cash and cash equivalents $ 967,290us-gaap_CashAndCashEquivalentsAtCarryingValue $ 548,095us-gaap_CashAndCashEquivalentsAtCarryingValue $ 430,308us-gaap_CashAndCashEquivalentsAtCarryingValue $ 391,396us-gaap_CashAndCashEquivalentsAtCarryingValue
Loans and loans held for sale, net of unearned income 13,088,505ibkc_LoansAndLoansMortgageHeldForSale   9,772,772ibkc_LoansAndLoansMortgageHeldForSale  
FDIC loss share receivable 60,972us-gaap_FDICIndemnificationAsset 69,627us-gaap_FDICIndemnificationAsset    
Financial Liabilities        
Deposits 14,668,073us-gaap_Deposits 12,520,525us-gaap_Deposits 10,898,863us-gaap_Deposits  
Short-term borrowings 604,902us-gaap_ShortTermBorrowings 845,742us-gaap_ShortTermBorrowings    
Long-term debt 460,889us-gaap_LongTermDebt 403,254us-gaap_LongTermDebt    
Carrying Amount [Member]        
Financial Assets        
Cash and cash equivalents 967,290us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
548,095us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Investment securities 2,456,055us-gaap_MarketableSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
2,275,813us-gaap_MarketableSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Loans and loans held for sale, net of unearned income 13,088,505ibkc_LoansAndLoansMortgageHeldForSale
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
11,581,116ibkc_LoansAndLoansMortgageHeldForSale
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
FDIC loss share receivable 60,972us-gaap_FDICIndemnificationAsset
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
69,627us-gaap_FDICIndemnificationAsset
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Derivative instruments 41,120us-gaap_DerivativeAssets
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
32,903us-gaap_DerivativeAssets
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Accrued interest receivable 41,865us-gaap_InterestReceivable
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
37,696us-gaap_InterestReceivable
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Financial Liabilities        
Deposits 14,668,073us-gaap_Deposits
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
12,520,525us-gaap_Deposits
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Short-term borrowings 604,902us-gaap_ShortTermBorrowings
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
845,742us-gaap_ShortTermBorrowings
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Long-term debt 460,889us-gaap_LongTermDebt
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
403,254us-gaap_LongTermDebt
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Derivative instruments 35,704us-gaap_DerivativeLiabilities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
31,354us-gaap_DerivativeLiabilities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Accrued interest payable 9,281us-gaap_InterestPayableCurrent
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
8,258us-gaap_InterestPayableCurrent
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Fair Value [Member]        
Financial Assets        
Cash and cash equivalents 967,290us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
548,095us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
   
Investment securities 2,458,984us-gaap_MarketableSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
2,278,334us-gaap_MarketableSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
   
Loans and loans held for sale, net of unearned income 13,070,985ibkc_LoansAndLoansMortgageHeldForSale
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
11,605,446ibkc_LoansAndLoansMortgageHeldForSale
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
   
FDIC loss share receivable 39,540us-gaap_FDICIndemnificationAsset
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
19,606us-gaap_FDICIndemnificationAsset
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
   
Derivative instruments 41,120us-gaap_DerivativeAssets
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
32,903us-gaap_DerivativeAssets
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
   
Accrued interest receivable 41,865us-gaap_InterestReceivable
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
37,696us-gaap_InterestReceivable
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
   
Financial Liabilities        
Deposits 14,489,153us-gaap_Deposits
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
12,298,017us-gaap_Deposits
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
   
Short-term borrowings 604,902us-gaap_ShortTermBorrowings
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
845,742us-gaap_ShortTermBorrowings
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
   
Long-term debt 440,158us-gaap_LongTermDebt
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
376,139us-gaap_LongTermDebt
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
   
Derivative instruments 35,704us-gaap_DerivativeLiabilities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
31,354us-gaap_DerivativeLiabilities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
   
Accrued interest payable 9,281us-gaap_InterestPayableCurrent
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
8,258us-gaap_InterestPayableCurrent
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
   
Level 1 [Member]        
Financial Assets        
Cash and cash equivalents 967,290us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
548,095us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
   
Investment securities 67,206us-gaap_MarketableSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
     
Accrued interest receivable 41,865us-gaap_InterestReceivable
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
37,696us-gaap_InterestReceivable
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
   
Financial Liabilities        
Short-term borrowings 604,902us-gaap_ShortTermBorrowings
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
845,742us-gaap_ShortTermBorrowings
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
   
Accrued interest payable 9,281us-gaap_InterestPayableCurrent
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
8,258us-gaap_InterestPayableCurrent
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
   
Level 2 [Member]        
Financial Assets        
Investment securities 2,391,778us-gaap_MarketableSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
2,278,334us-gaap_MarketableSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
   
Loans and loans held for sale, net of unearned income 194,816ibkc_LoansAndLoansMortgageHeldForSale
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
139,950ibkc_LoansAndLoansMortgageHeldForSale
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
   
Derivative instruments 41,120us-gaap_DerivativeAssets
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
32,903us-gaap_DerivativeAssets
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
   
Financial Liabilities        
Derivative instruments 35,704us-gaap_DerivativeLiabilities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
31,354us-gaap_DerivativeLiabilities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
   
Level 3 [Member]        
Financial Assets        
Loans and loans held for sale, net of unearned income 12,876,169ibkc_LoansAndLoansMortgageHeldForSale
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
11,465,496ibkc_LoansAndLoansMortgageHeldForSale
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
   
FDIC loss share receivable 39,540us-gaap_FDICIndemnificationAsset
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
19,606us-gaap_FDICIndemnificationAsset
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
   
Financial Liabilities        
Deposits 14,489,153us-gaap_Deposits
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
12,298,017us-gaap_Deposits
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
   
Long-term debt $ 440,158us-gaap_LongTermDebt
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
$ 376,139us-gaap_LongTermDebt
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member