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Earnings Per Share - Schedule of Basic Earnings Per Common Share (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
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]                      
Distributed earnings to common shareholders                 $ 43,623us-gaap_DistributedEarnings $ 39,685us-gaap_DistributedEarnings $ 39,349us-gaap_DistributedEarnings
Undistributed earnings to common shareholders                 60,175us-gaap_UndistributedEarnings 24,212us-gaap_UndistributedEarnings 35,603us-gaap_UndistributedEarnings
Total earnings to common shareholders                 103,798ibkc_DistributedAndUndistributedEarningsToCommonShareholdersBasic 63,897ibkc_DistributedAndUndistributedEarningsToCommonShareholdersBasic 74,952ibkc_DistributedAndUndistributedEarningsToCommonShareholdersBasic
Distributed earnings per common share                 $ 1.40us-gaap_EarningsPerShareBasicDistributed $ 1.37us-gaap_EarningsPerShareBasicDistributed $ 1.36us-gaap_EarningsPerShareBasicDistributed
Undistributed earnings per common share                 $ 1.92us-gaap_EarningsPerShareBasicUndistributed $ 0.83us-gaap_EarningsPerShareBasicUndistributed $ 1.23us-gaap_EarningsPerShareBasicUndistributed
Total earnings per common share $ 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
Unvested Restricted Stock [Member]                      
Earnings Per Share, Basic, by Common Class, Including Two Class Method [Line Items]                      
Distributed earnings to common shareholders                 694us-gaap_DistributedEarnings
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
749us-gaap_DistributedEarnings
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
758us-gaap_DistributedEarnings
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
Undistributed earnings to common shareholders                 958us-gaap_UndistributedEarnings
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
457us-gaap_UndistributedEarnings
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
685us-gaap_UndistributedEarnings
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
Total earnings allocated to unvested restricted stock                 $ 1,652ibkc_DistributedAndUndistributedEarningsToUnvestedRestrictedStock
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
$ 1,206ibkc_DistributedAndUndistributedEarningsToUnvestedRestrictedStock
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
$ 1,443ibkc_DistributedAndUndistributedEarningsToUnvestedRestrictedStock
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
Distributed earnings per common share                 $ 1.34us-gaap_EarningsPerShareBasicDistributed
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
$ 1.35us-gaap_EarningsPerShareBasicDistributed
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
$ 1.37us-gaap_EarningsPerShareBasicDistributed
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
Undistributed earnings per common share                 $ 1.85us-gaap_EarningsPerShareBasicUndistributed
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
$ 0.83us-gaap_EarningsPerShareBasicUndistributed
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
$ 1.24us-gaap_EarningsPerShareBasicUndistributed
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
Total earnings per common share                 $ 3.19us-gaap_EarningsPerShareBasic
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
$ 2.18us-gaap_EarningsPerShareBasic
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember
$ 2.61us-gaap_EarningsPerShareBasic
/ us-gaap_AwardTypeAxis
= ibkc_UnvestedRestrictedStockMember