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Quarterly Results of Operations and Selected Cash Flow Data (Unaudited) - Schedule of Quarterly Results of Operations (Detail) (USD $)
In Thousands, except Per Share data, unless otherwise specified
3 Months Ended 12 Months Ended
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Quarterly Financial Information Disclosure [Abstract]                      
Total interest income $ 137,276us-gaap_InterestAndDividendIncomeOperating $ 133,793us-gaap_InterestAndDividendIncomeOperating $ 119,514us-gaap_InterestAndDividendIncomeOperating $ 114,232us-gaap_InterestAndDividendIncomeOperating $ 114,092us-gaap_InterestAndDividendIncomeOperating $ 108,512us-gaap_InterestAndDividendIncomeOperating $ 108,177us-gaap_InterestAndDividendIncomeOperating $ 106,416us-gaap_InterestAndDividendIncomeOperating $ 504,815us-gaap_InterestAndDividendIncomeOperating $ 437,197us-gaap_InterestAndDividendIncomeOperating $ 445,200us-gaap_InterestAndDividendIncomeOperating
Total interest expense 12,596us-gaap_InterestExpense 12,042us-gaap_InterestExpense 10,241us-gaap_InterestExpense 9,824us-gaap_InterestExpense 10,654us-gaap_InterestExpense 11,060us-gaap_InterestExpense 11,695us-gaap_InterestExpense 13,545us-gaap_InterestExpense 44,704us-gaap_InterestExpense 46,953us-gaap_InterestExpense 63,450us-gaap_InterestExpense
Net interest income 124,680us-gaap_InterestIncomeExpenseNet 121,751us-gaap_InterestIncomeExpenseNet 109,273us-gaap_InterestIncomeExpenseNet 104,408us-gaap_InterestIncomeExpenseNet 103,438us-gaap_InterestIncomeExpenseNet 97,452us-gaap_InterestIncomeExpenseNet 96,482us-gaap_InterestIncomeExpenseNet 92,871us-gaap_InterestIncomeExpenseNet 460,111us-gaap_InterestIncomeExpenseNet 390,244us-gaap_InterestIncomeExpenseNet 381,750us-gaap_InterestIncomeExpenseNet
(Reversal of) Provision for loan losses 6,495us-gaap_ProvisionForLoanLeaseAndOtherLosses 5,714us-gaap_ProvisionForLoanLeaseAndOtherLosses 4,748us-gaap_ProvisionForLoanLeaseAndOtherLosses 2,103us-gaap_ProvisionForLoanLeaseAndOtherLosses 4,700us-gaap_ProvisionForLoanLeaseAndOtherLosses 2,014us-gaap_ProvisionForLoanLeaseAndOtherLosses 1,807us-gaap_ProvisionForLoanLeaseAndOtherLosses (3,377)us-gaap_ProvisionForLoanLeaseAndOtherLosses 19,060us-gaap_ProvisionForLoanLeaseAndOtherLosses 5,145us-gaap_ProvisionForLoanLeaseAndOtherLosses 20,671us-gaap_ProvisionForLoanLeaseAndOtherLosses
Net interest income after (reversal of) provision for loan losses 118,185us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss 116,037us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss 104,525us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss 102,305us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss 98,738us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss 95,438us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss 94,675us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss 96,248us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss 441,051us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss 385,099us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss 361,079us-gaap_InterestIncomeExpenseAfterProvisionForLoanLoss
Gain (loss) on sale of investments, net 164us-gaap_GainLossOnSaleOfInvestments 582us-gaap_GainLossOnSaleOfInvestments 8us-gaap_GainLossOnSaleOfInvestments 19us-gaap_GainLossOnSaleOfInvestments 19us-gaap_GainLossOnSaleOfInvestments 13us-gaap_GainLossOnSaleOfInvestments (57)us-gaap_GainLossOnSaleOfInvestments 2,359us-gaap_GainLossOnSaleOfInvestments 771us-gaap_GainLossOnSaleOfInvestments 2,277us-gaap_GainLossOnSaleOfInvestments 3,739us-gaap_GainLossOnSaleOfInvestments
Other noninterest income 46,908us-gaap_NoninterestIncomeOther 46,530us-gaap_NoninterestIncomeOther 43,753us-gaap_NoninterestIncomeOther 35,662us-gaap_NoninterestIncomeOther 38,696us-gaap_NoninterestIncomeOther 43,250us-gaap_NoninterestIncomeOther 42,546us-gaap_NoninterestIncomeOther 42,132us-gaap_NoninterestIncomeOther      
Noninterest expense 119,382us-gaap_NoninterestExpense 120,360us-gaap_NoninterestExpense 127,309us-gaap_NoninterestExpense 107,428us-gaap_NoninterestExpense 102,674us-gaap_NoninterestExpense 108,152us-gaap_NoninterestExpense 117,361us-gaap_NoninterestExpense 144,898us-gaap_NoninterestExpense 474,479us-gaap_NoninterestExpense 473,085us-gaap_NoninterestExpense 432,185us-gaap_NoninterestExpense
Income (loss) before income taxes 45,875us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 42,789us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 20,977us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 30,558us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 34,779us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 30,549us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 19,803us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments (4,159)us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 140,200us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 80,972us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 104,891us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments
Income tax expense (benefit) 9,939us-gaap_IncomeTaxExpenseBenefit 11,897us-gaap_IncomeTaxExpenseBenefit 4,750us-gaap_IncomeTaxExpenseBenefit 8,163us-gaap_IncomeTaxExpenseBenefit 9,175us-gaap_IncomeTaxExpenseBenefit 7,357us-gaap_IncomeTaxExpenseBenefit 4,213us-gaap_IncomeTaxExpenseBenefit (4,876)us-gaap_IncomeTaxExpenseBenefit 34,750us-gaap_IncomeTaxExpenseBenefit 15,869us-gaap_IncomeTaxExpenseBenefit 28,496us-gaap_IncomeTaxExpenseBenefit
Net income 35,936us-gaap_NetIncomeLoss 30,892us-gaap_NetIncomeLoss 16,227us-gaap_NetIncomeLoss 22,395us-gaap_NetIncomeLoss 25,604us-gaap_NetIncomeLoss 23,192us-gaap_NetIncomeLoss 15,590us-gaap_NetIncomeLoss 717us-gaap_NetIncomeLoss 105,450us-gaap_NetIncomeLoss 65,103us-gaap_NetIncomeLoss 76,395us-gaap_NetIncomeLoss
Preferred stock dividends 0us-gaap_DividendsPreferredStock 0us-gaap_DividendsPreferredStock 0us-gaap_DividendsPreferredStock 0us-gaap_DividendsPreferredStock 0us-gaap_DividendsPreferredStock 0us-gaap_DividendsPreferredStock 0us-gaap_DividendsPreferredStock 0us-gaap_DividendsPreferredStock      
Income available to common shareholders 35,936us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 30,892us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 16,227us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 22,395us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 25,604us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 23,192us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 15,590us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 717us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 105,450us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 65,103us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 76,395us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic
Earnings Allocated to Unvested Restricted Stock (530)ibkc_EarningsAllocatedToUnvestedRestrictedStock (465)ibkc_EarningsAllocatedToUnvestedRestrictedStock (258)ibkc_EarningsAllocatedToUnvestedRestrictedStock (405)ibkc_EarningsAllocatedToUnvestedRestrictedStock (456)ibkc_EarningsAllocatedToUnvestedRestrictedStock (425)ibkc_EarningsAllocatedToUnvestedRestrictedStock (293)ibkc_EarningsAllocatedToUnvestedRestrictedStock (20)ibkc_EarningsAllocatedToUnvestedRestrictedStock (1,685)ibkc_EarningsAllocatedToUnvestedRestrictedStock (1,209)ibkc_EarningsAllocatedToUnvestedRestrictedStock (1,437)ibkc_EarningsAllocatedToUnvestedRestrictedStock
Earnings available to common shareholders - Diluted $ 35,406us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted $ 30,427us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted $ 15,969us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted $ 21,990us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted $ 25,148us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted $ 22,767us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted $ 15,297us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted $ 697us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted $ 103,765us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted $ 63,894us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted $ 74,958us-gaap_NetIncomeLossAvailableToCommonStockholdersDiluted
Earnings per share - Basic $ 1.08us-gaap_EarningsPerShareBasic $ 0.93us-gaap_EarningsPerShareBasic $ 0.53us-gaap_EarningsPerShareBasic $ 0.75us-gaap_EarningsPerShareBasic $ 0.86us-gaap_EarningsPerShareBasic $ 0.78us-gaap_EarningsPerShareBasic $ 0.53us-gaap_EarningsPerShareBasic $ 0.02us-gaap_EarningsPerShareBasic $ 3.32us-gaap_EarningsPerShareBasic $ 2.20us-gaap_EarningsPerShareBasic $ 2.59us-gaap_EarningsPerShareBasic
Earnings per share - Diluted $ 1.07us-gaap_EarningsPerShareDiluted $ 0.92us-gaap_EarningsPerShareDiluted $ 0.53us-gaap_EarningsPerShareDiluted $ 0.75us-gaap_EarningsPerShareDiluted $ 0.86us-gaap_EarningsPerShareDiluted $ 0.78us-gaap_EarningsPerShareDiluted $ 0.53us-gaap_EarningsPerShareDiluted $ 0.02us-gaap_EarningsPerShareDiluted $ 3.30us-gaap_EarningsPerShareDiluted $ 2.20us-gaap_EarningsPerShareDiluted $ 2.59us-gaap_EarningsPerShareDiluted
Cash dividends declared per common share $ 0.34us-gaap_CommonStockDividendsPerShareDeclared $ 0.34us-gaap_CommonStockDividendsPerShareDeclared $ 0.34us-gaap_CommonStockDividendsPerShareDeclared $ 0.34us-gaap_CommonStockDividendsPerShareDeclared $ 0.34us-gaap_CommonStockDividendsPerShareDeclared $ 0.34us-gaap_CommonStockDividendsPerShareDeclared $ 0.34us-gaap_CommonStockDividendsPerShareDeclared $ 0.34us-gaap_CommonStockDividendsPerShareDeclared $ 1.36us-gaap_CommonStockDividendsPerShareDeclared $ 1.36us-gaap_CommonStockDividendsPerShareDeclared $ 1.36us-gaap_CommonStockDividendsPerShareDeclared