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Stock Option Plans - Additional information (Detail) (USD $)
12 Months Ended 0 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Mar. 12, 2014
Mar. 13, 2013
Mar. 16, 2012
Stock Option Plans [Line Items]            
Maximum number of shares available 376,541us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod 369,975us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod 361,400us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod      
Maximum number of shares granted during any fiscal year to any person 200,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumNumberOfSharesPerEmployee          
Maximum period for the exercise of stock options, years 7 years          
Minimum exercise price of stock options, percent of fair market value of a share of common stock on the date of grant 100.00%ajg_MinimumExercisePriceOfStockOptionsPercentOfFairMarketValueOfShareOfCommonStockOnDateOfGrant          
Number of years options expire, maximum 7 years 7 years 7 years      
Compensation expense related to stock option grants $ 9,500,000us-gaap_StockGrantedDuringPeriodValueSharebasedCompensation $ 7,700,000us-gaap_StockGrantedDuringPeriodValueSharebasedCompensation $ 7,200,000us-gaap_StockGrantedDuringPeriodValueSharebasedCompensation      
Total intrinsic value of options exercised 30,500,000ajg_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisedInPeriodIntrinsicValue 32,000,000ajg_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisedInPeriodIntrinsicValue 26,000,000ajg_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisedInPeriodIntrinsicValue      
Total unrecognized compensation cost related to nonvested options 28,800,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized          
Weighted average period, years 4 years          
Minimum [Member]            
Stock Option Plans [Line Items]            
Period of Service from Grant Date Stock Options Awarded Not Subject to Forfeiture 2 years          
Officer and Key Employees [Member]            
Stock Option Plans [Line Items]            
Shares available for grant       1,923,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_TitleOfIndividualAxis
= us-gaap_OfficerMember
1,665,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_TitleOfIndividualAxis
= us-gaap_OfficerMember
1,355,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_TitleOfIndividualAxis
= us-gaap_OfficerMember
Stock options granted, exercise percentage, on the anniversary date of the grant in 2017       34.00%ajg_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodExercisePercentageYearOne
/ us-gaap_TitleOfIndividualAxis
= us-gaap_OfficerMember
34.00%ajg_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodExercisePercentageYearOne
/ us-gaap_TitleOfIndividualAxis
= us-gaap_OfficerMember
34.00%ajg_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodExercisePercentageYearOne
/ us-gaap_TitleOfIndividualAxis
= us-gaap_OfficerMember
Stock options granted, exercise percentage, on the anniversary date of the grant in 2018       33.00%ajg_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodExercisePercentageYearTwo
/ us-gaap_TitleOfIndividualAxis
= us-gaap_OfficerMember
33.00%ajg_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodExercisePercentageYearTwo
/ us-gaap_TitleOfIndividualAxis
= us-gaap_OfficerMember
33.00%ajg_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodExercisePercentageYearTwo
/ us-gaap_TitleOfIndividualAxis
= us-gaap_OfficerMember
Stock options granted, exercise percentage, on the anniversary date of the grant in 2019       33.00%ajg_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodExercisePercentageYearThree
/ us-gaap_TitleOfIndividualAxis
= us-gaap_OfficerMember
33.00%ajg_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodExercisePercentageYearThree
/ us-gaap_TitleOfIndividualAxis
= us-gaap_OfficerMember
33.00%ajg_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodExercisePercentageYearThree
/ us-gaap_TitleOfIndividualAxis
= us-gaap_OfficerMember
Executive Officer [Member]            
Stock Option Plans [Line Items]            
Minimum age of employee with not subject to award forfeiture on condition compliance 55 years          
Long Term Incentive Plan [Member]            
Stock Option Plans [Line Items]            
Maximum number of shares available 2,000,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_PlanNameAxis
= ajg_LongTermIncentivePlanMember
         
Shares available for grant 9,300,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_PlanNameAxis
= ajg_LongTermIncentivePlanMember
         
Performance-Based Restricted Stock [Member]            
Stock Option Plans [Line Items]            
Maximum number of shares granted during any fiscal year to any person 100,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumNumberOfSharesPerEmployee
/ us-gaap_PlanNameAxis
= ajg_PerformanceBasedRestrictedStockMember
         
Incentive Plan Prior to 2007 [Member]            
Stock Option Plans [Line Items]            
Stock options granted, exercise rate per year 10.00%ajg_StockBasedCompensationStockOptionGrantedByCompensationCommitteeToOfficersAndKeyEmployersExercisableRate
/ us-gaap_PlanNameAxis
= ajg_IncentivePlanPriorToTwoThousandAndSevenMember
         
Non Qualified Plan Prior to 2007 [Member] | Officer and Key Employees [Member]            
Stock Option Plans [Line Items]            
Stock options granted, exercise rate per year 10.00%ajg_StockBasedCompensationStockOptionGrantedByCompensationCommitteeToOfficersAndKeyEmployersExercisableRate
/ us-gaap_PlanNameAxis
= ajg_NonQualifiedPlanPriorToTwoThousandAndSevenMember
/ us-gaap_TitleOfIndividualAxis
= us-gaap_OfficerMember
         
Accelerated vesting in the event of death, disability or retirement 100.00%ajg_ShareBasedCompensationArrangementByShareBasedPaymentAwardPercentageVestedUponDeathRetirementOrChangeInControl
/ us-gaap_PlanNameAxis
= ajg_NonQualifiedPlanPriorToTwoThousandAndSevenMember
/ us-gaap_TitleOfIndividualAxis
= us-gaap_OfficerMember
         
Prior to 2009 Options [Member]            
Stock Option Plans [Line Items]            
Number of years options expire, maximum 10 years          
Cash Settled Performance Shares [Member] | Performance-Based Restricted Stock [Member]            
Stock Option Plans [Line Items]            
Maximum amount payable for the shares granted during any fiscal year to any person $ 5,000,000ajg_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumAmountPayablePerEmployee
/ us-gaap_AwardTypeAxis
= ajg_CashSettledPerformanceSharesMember
/ us-gaap_PlanNameAxis
= ajg_PerformanceBasedRestrictedStockMember
         
Stock Settled Performance Shares [Member] | Performance-Based Restricted Stock [Member]            
Stock Option Plans [Line Items]            
Maximum number of shares granted during any fiscal year to any person 100,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumNumberOfSharesPerEmployee
/ us-gaap_AwardTypeAxis
= ajg_StockSettledPerformanceSharesMember
/ us-gaap_PlanNameAxis
= ajg_PerformanceBasedRestrictedStockMember
         
Black-Scholes Option Pricing Model [Member]            
Stock Option Plans [Line Items]            
Weighted average fair value per option for all options $ 9.66us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_ValuationTechniqueAxis
= ajg_BlackScholesOptionPricingModelMember
$ 7.51us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_ValuationTechniqueAxis
= ajg_BlackScholesOptionPricingModelMember
$ 5.49us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_ValuationTechniqueAxis
= ajg_BlackScholesOptionPricingModelMember