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Pay vs Performance Disclosure
 12 Months Ended
Dec. 31, 2023
USD ($)
Dec. 31, 2022
USD ($)
Dec. 31, 2021
USD ($)
Dec. 31, 2020
USD ($)
Pay vs Performance Disclosure [Table]        
Pay vs Performance [Table Text Block]
The following table sets forth information concerning the compensation of our NEOs for each of the fiscal years ended December 31, 2020, 2021, 2022 and 2023, and our financial performance for each such fiscal year:

Pay Versus Performance Table

YearSummary Compensation Table Total for PEO(1)Compensation Actually Paid to PEO (2)Average Summary Compensation Table Total for Non-PEO NEOs(3)Average Compensation Actually Paid to Non-PEO NEOs(4)Value of Initial Fixed $100 Investment Based On:Net Income(7)
Return on Average Assets, As Adjusted (non-GAAP)(8)
Total Shareholder Return(5)Peer Group Total Shareholder Return(6)
2023$5,788,859 $6,529,912 $873,521 $944,831 141.36 123.03 $392,929 1.79 %
20225,747,086 5,182,217 2,108,999 1,922,398 125.94 98.38 305,262 1.67 
20215,124,814 6,328,924 809,480 999,978 130.83 118.61 319,021 1.73 
20204,639,256 4,644,946 770,234 742,853 102.25 86.77 214,448 1.30 
      
Company Selected Measure Name return on average assets, as adjusted      
Named Executive Officers, Footnote [Text Block] Represents the total compensation of our principal executive officer (PEO), John W. Allison, as reported in the Summary Compensation Table for each year indicated.Represents the average of the total compensation of each of our non-PEO NEOs as reported in the Summary Compensation     Table for each year indicated. The non-PEO NEOs included in this calculation for 2020, 2021 and 2023 are Brian S. Davis, Tracy M. French, Kevin D. Hester and J. Stephen Tipton. The non-PEO NEOs included in this calculation for 2022 are Brian S. Davis, Tracy M. French, J. Stephen Tipton and Mikel Williamson.      
Peer Group Issuers, Footnote [Text Block] Represents a cumulative four-year total return of shareholders of a peer group calculated using the same method described in footnote (5). For 2020 and 2021, the peer group used is the former SNL Bank and Thrift Index as listed under Item 5 of our Annual Reports on Form 10-K for the years ended December 31, 2020 and 2021, respectively. Because the SNL Bank and Thrift Index was discontinued, the peer group used for 2022 and 2023 is the S&P U.S. BMI Banks Index as listed under Item 5 of our Annual Reports on Form 10-K for the years ended December 31, 2022 and 2023, respectively.      
PEO Total Compensation Amount $ 5,788,859 $ 5,747,086 $ 5,124,814 $ 4,639,256
PEO Actually Paid Compensation Amount $ 6,529,912 5,182,217 6,328,924 4,644,946
Adjustment To PEO Compensation, Footnote [Text Block] The amount reported in this column for each year indicated is calculated as follows:
Reconciliation of PEO SCT Total and Compensation Actually Paid.2023202220212020
Total Compensation as reported SCT$5,788,859 $5,747,086 $5,124,814 $4,639,256 
SubtractPension values reported in SCT for covered fiscal year(84,787)(97,449)(109,140)(119,935)
SubtractFair value of equity awards granted during covered fiscal year(3,431,790)(3,661,290)(3,381,000)(2,887,500)
AddPension value attributable to covered fiscal year's service and any change in pension value attributable to plan amendments made in the covered year— — — — 
AddFair value of equity awards granted in covered fiscal year and that are unvested at end of such covered fiscal year - valued at year-end3,875,490 3,486,870 3,652,500 2,922,000 
AddFair value of equity awards granted in covered fiscal year that vested during such covered fiscal year - valued on date of vesting— — — — 
AddDividends or other earnings paid on stock or option awards in the covered fiscal year prior to the vesting date that are not otherwise included in the total compensation for the covered fiscal year— — — — 
Add/SubtractChange in fair value from end of prior fiscal year to end of covered fiscal year for awards made in prior fiscal years that were unvested at end of current fiscal year381,000 (312,000)730,500 (29,250)
Add/SubtractChange in fair value from end of prior fiscal year to vesting date for awards made in prior fiscal years that vested during covered fiscal year1,140 19,000 311,250 120,375 
SubtractFair value of awards forfeited in current fiscal year determined at end of prior fiscal year— — — — 
EqualsCompensation Actually Paid to PEO$6,529,912 $5,182,217 $6,328,924 $4,644,946 
      
Non-PEO NEO Average Total Compensation Amount $ 873,521 2,108,999 809,480 770,234
Non-PEO NEO Average Compensation Actually Paid Amount $ 944,831 1,922,398 999,978 742,853
Adjustment to Non-PEO NEO Compensation Footnote [Text Block] The amount reported in this column for each year indicated is calculated as follows:
Reconciliation of Non-PEO NEOs SCT Total and Compensation Actually Paid.
2023
2022
2021
2020
Total Compensation as reported SCT$873,521 $2,108,999 $809,480 $770,234 
SubtractPension values reported in SCT for covered fiscal year(15,915)(15,108)(13,662)(11,691)
SubtractFair value of equity awards granted during covered fiscal year(33,645)(314,145)(33,270)(28,875)
AddPension value attributable to covered fiscal year's service and any change in pension value attributable to plan amendments made in the covered year— 8,207 — — 
AddFair value of equity awards granted in covered fiscal year and that are unvested at end of such covered fiscal year - valued at year-end25,330 182,320 24,350 38,960 
AddFair value of equity awards granted in covered fiscal year that vested during such covered fiscal year - valued on date of vesting— — — — 
AddDividends or other earnings paid on stock or option awards in the covered fiscal year prior to the vesting date that are not otherwise included in the total compensation for the covered fiscal year— — — — 
Add/SubtractChange in fair value from end of prior fiscal year to end of covered fiscal year for awards made in prior fiscal years that were unvested at end of current fiscal year95,885 (47,190)181,408 (7,650)
Add/SubtractChange in fair value from end of prior fiscal year to vesting date for awards made in prior fiscal years that vested during covered fiscal year(345)(685)31,673 (18,125)
SubtractFair value of awards forfeited in current fiscal year determined at end of prior fiscal year— — — — 
EqualsCompensation Actually Paid to Non-PEO NEOs$944,831 $1,922,398 $999,978 $742,853 
      
Compensation Actually Paid vs. Total Shareholder Return [Text Block]
The following graphs show the relationship between the compensation actually paid to our PEO and the average of the compensation actually paid to our other NEOs to our total shareholder return, net income and return on average assets, as adjusted, and the relationship between our cumulative total shareholder return and the cumulative total shareholder return of the peer group, each over the fiscal years ending December 31, 2023 as reported in the table above:

3009
      
Compensation Actually Paid vs. Net Income [Text Block]
3012
      
Compensation Actually Paid vs. Company Selected Measure [Text Block]
3016
      
Total Shareholder Return Vs Peer Group [Text Block]
3018
      
Tabular List [Table Text Block]
Financial Performance Measures Used to Link Executive Compensation to Company Performance
The following list presents the most important financial measures, as determined by the Compensation Committee, used by the Company to link compensation actually paid to our NEOs, for fiscal year 2023, to the Company’s performance:
•Return on average assets, as adjusted
•Return on tangible common equity, as adjusted
•Efficiency ratio, as adjusted
•Net charge-off ratio
•Net interest margin
      
Total Shareholder Return Amount $ 141.36 125.94 130.83 102.25
Peer Group Total Shareholder Return Amount 123.03 98.38 118.61 86.77
Net Income (Loss) $ 392,929,000 $ 305,262,000 $ 319,021,000 $ 214,448,000
Company Selected Measure Amount 0.0179 0.0167 0.0173 0.0130
PEO Name John W. Allison      
Measure [Axis]: 1        
Pay vs Performance Disclosure [Table]        
Measure Name •Return on average assets, as adjusted      
Non-GAAP Measure Description [Text Block] Represents our return on average assets, as adjusted, for each year indicated, which we believe represents the most important financial performance measure that was used to link compensation actually paid to our PEO and non-PEOs for the most recent fiscal year to Company performance. See Appendix A to this Proxy Statement for a reconciliation of return on average assets, as adjusted, a non-GAAP measure, to the most directly comparable GAAP financial measure.      
Measure [Axis]: 2        
Pay vs Performance Disclosure [Table]        
Measure Name •Return on tangible common equity, as adjusted      
Measure [Axis]: 3        
Pay vs Performance Disclosure [Table]        
Measure Name •Efficiency ratio, as adjusted      
Measure [Axis]: 4        
Pay vs Performance Disclosure [Table]        
Measure Name •Net charge-off ratio      
Measure [Axis]: 5        
Pay vs Performance Disclosure [Table]        
Measure Name •Net interest margin      
PEO [Member] | Adjustment, Pension Values [Member]        
Pay vs Performance Disclosure [Table]        
Adjustment to Compensation Amount $ (84,787) $ (97,449) $ (109,140) $ (119,935)
PEO [Member] | Adjustment, Equity Awards Granted [Member]        
Pay vs Performance Disclosure [Table]        
Adjustment to Compensation Amount (3,431,790) (3,661,290) (3,381,000) (2,887,500)
PEO [Member] | Adjustment, Pension Value Attributable to Plan Amendments [Member]        
Pay vs Performance Disclosure [Table]        
Adjustment to Compensation Amount 0 0 0 0
PEO [Member] | Adjustment, Equity Awards Granted and Unvested [Member]        
Pay vs Performance Disclosure [Table]        
Adjustment to Compensation Amount 3,875,490 3,486,870 3,652,500 2,922,000
PEO [Member] | Adjustment, Equity Awards Granted and Vested [Member]        
Pay vs Performance Disclosure [Table]        
Adjustment to Compensation Amount 0 0 0 0
PEO [Member] | Adjustment, Dividends or Other Earnings Paid on Stock or Option Awards [Member]        
Pay vs Performance Disclosure [Table]        
Adjustment to Compensation Amount 0 0 0 0
PEO [Member] | Adjustment, Change in Fair Value for Awards, Unvested [Member]        
Pay vs Performance Disclosure [Table]        
Adjustment to Compensation Amount 381,000 (312,000) 730,500 (29,250)
PEO [Member] | Adjustment, Change in Fair Value for Awards, Vested [Member]        
Pay vs Performance Disclosure [Table]        
Adjustment to Compensation Amount 1,140 19,000 311,250 120,375
PEO [Member] | Adjustment, Fair Value of Awards Forfeited [Member]        
Pay vs Performance Disclosure [Table]        
Adjustment to Compensation Amount 0 0 0 0
Non-PEO NEO [Member] | Adjustment, Pension Values [Member]        
Pay vs Performance Disclosure [Table]        
Adjustment to Compensation Amount (15,915) (15,108) (13,662) (11,691)
Non-PEO NEO [Member] | Adjustment, Equity Awards Granted [Member]        
Pay vs Performance Disclosure [Table]        
Adjustment to Compensation Amount (33,645) (314,145) (33,270) (28,875)
Non-PEO NEO [Member] | Adjustment, Pension Value Attributable to Plan Amendments [Member]        
Pay vs Performance Disclosure [Table]        
Adjustment to Compensation Amount 0 8,207 0 0
Non-PEO NEO [Member] | Adjustment, Equity Awards Granted and Unvested [Member]        
Pay vs Performance Disclosure [Table]        
Adjustment to Compensation Amount 25,330 182,320 24,350 38,960
Non-PEO NEO [Member] | Adjustment, Equity Awards Granted and Vested [Member]        
Pay vs Performance Disclosure [Table]        
Adjustment to Compensation Amount 0 0 0 0
Non-PEO NEO [Member] | Adjustment, Dividends or Other Earnings Paid on Stock or Option Awards [Member]        
Pay vs Performance Disclosure [Table]        
Adjustment to Compensation Amount 0 0 0 0
Non-PEO NEO [Member] | Adjustment, Change in Fair Value for Awards, Unvested [Member]        
Pay vs Performance Disclosure [Table]        
Adjustment to Compensation Amount 95,885 (47,190) 181,408 (7,650)
Non-PEO NEO [Member] | Adjustment, Change in Fair Value for Awards, Vested [Member]        
Pay vs Performance Disclosure [Table]        
Adjustment to Compensation Amount (345) (685) 31,673 (18,125)
Non-PEO NEO [Member] | Adjustment, Fair Value of Awards Forfeited [Member]        
Pay vs Performance Disclosure [Table]        
Adjustment to Compensation Amount $ 0 $ 0 $ 0 $ 0