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Stock-Based Compensation (Stock Plans) (Details) (USD $)
In Millions, except Share data, unless otherwise specified
 0 Months Ended 3 Months Ended
Nov. 03, 2014
Oct. 29, 2014
Dec. 31, 2014
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share Price $ 26.50us-gaap_SharePrice $ 25.19us-gaap_SharePrice  
Stock options | EIP      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Grants in Period, Gross 65,310us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember		 34,766us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember		  
Share-based Compensation Arrangement by Share-based Payment Award, Options, Grants in Period, Weighted Average Grant Date Fair Value $ 6.43us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember		 $ 6.04us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember		  
Share-based Compensation Arrangement by Share-based Payment Award, Options, Grants In Period, Fair Value $ 0.4bah_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember		 $ 0.2bah_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember		  
Stock options outstanding     6,679,333us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember
Share-based Compensation Arrangement by Share-based Payment Award, Options, Nonvested, Number     2,432,594us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsNonvestedNumberOfShares
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember
Common stock, Class A | Restricted stock | Annual Incentive Plan      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period     0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
/ us-gaap_PlanNameAxis
= bah_AnnualIncentivePlanMember
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonClassAMember
Common stock, Class A | Restricted Stock Units (RSUs) | Annual Incentive Plan      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Grants in Period     0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
/ us-gaap_PlanNameAxis
= bah_AnnualIncentivePlanMember
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonClassAMember