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Stock-Based Compensation (Recorded and Unrecorded Stock-based Compensation Liability) (Details) (USD $)
 3 Months Ended 9 Months Ended
Dec. 31, 2014
Dec. 31, 2014
Mar. 31, 2014
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation liability, current $ 31,738,000us-gaap_DeferredCompensationShareBasedArrangementsLiabilityCurrent $ 31,738,000us-gaap_DeferredCompensationShareBasedArrangementsLiabilityCurrent $ 39,922,000us-gaap_DeferredCompensationShareBasedArrangementsLiabilityCurrent
Stock-based compensation liability, noncurrent 0us-gaap_DeferredCompensationSharebasedArrangementsLiabilityClassifiedNoncurrent 0us-gaap_DeferredCompensationSharebasedArrangementsLiabilityClassifiedNoncurrent 25,966,000us-gaap_DeferredCompensationSharebasedArrangementsLiabilityClassifiedNoncurrent
Stock-based compensation liability, current and noncurrent 31,700,000us-gaap_DeferredCompensationSharebasedArrangementsLiabilityCurrentAndNoncurrent 31,700,000us-gaap_DeferredCompensationSharebasedArrangementsLiabilityCurrentAndNoncurrent 65,900,000us-gaap_DeferredCompensationSharebasedArrangementsLiabilityCurrentAndNoncurrent
Unrecognized compensation cost, amortization period   4 years 3 months  
Special Cash Dividend      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Recorded and unrecorded stock-based compensation liability, current and noncurrent 36,300,000bah_DeferredCompensationShareBasedArrangementsLiabilityCurrentAndNoncurrentRecordedAndUnrecorded
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember		 36,300,000bah_DeferredCompensationShareBasedArrangementsLiabilityCurrentAndNoncurrentRecordedAndUnrecorded
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember		 73,100,000bah_DeferredCompensationShareBasedArrangementsLiabilityCurrentAndNoncurrentRecordedAndUnrecorded
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
Stock options | EIP      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Unrecognized compensation cost, amortization period   3 years 0 months 9 days  
Stock options | Special Cash Dividend      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation liability, current 31,738,000us-gaap_DeferredCompensationShareBasedArrangementsLiabilityCurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember		 31,738,000us-gaap_DeferredCompensationShareBasedArrangementsLiabilityCurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember		 39,922,000us-gaap_DeferredCompensationShareBasedArrangementsLiabilityCurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
Stock-based compensation liability, noncurrent 0us-gaap_DeferredCompensationSharebasedArrangementsLiabilityClassifiedNoncurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember		 0us-gaap_DeferredCompensationSharebasedArrangementsLiabilityClassifiedNoncurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember		 25,966,000us-gaap_DeferredCompensationSharebasedArrangementsLiabilityClassifiedNoncurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
Stock-based compensation liability, current and noncurrent 31,738,000us-gaap_DeferredCompensationSharebasedArrangementsLiabilityCurrentAndNoncurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember		 31,738,000us-gaap_DeferredCompensationSharebasedArrangementsLiabilityCurrentAndNoncurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember		 65,888,000us-gaap_DeferredCompensationSharebasedArrangementsLiabilityCurrentAndNoncurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
Stock options | Special Cash Dividend | EIP      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based compensation arrangement, plan modification, incremental compensation cost recognized in period 100,000bah_ShareBasedCompensationArrangementByShareBasedPaymentAwardPlanModificationIncrementalCompensationCostRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember		    
Share-based compensation arrangement, plan modification, incremental compensation cost, deferred 600,000bah_ShareBasedCompensationArrangementByShareBasedPaymentAwardPlanModificationDeferredIncrementalCompensationCost
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember		 600,000bah_ShareBasedCompensationArrangementByShareBasedPaymentAwardPlanModificationDeferredIncrementalCompensationCost
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember		  
Share-based compensation arrangement, plan modification, incremental compensation cost, deferred, recognition period   2 years 6 months  
Stock-based compensation liability, current 3,703,000us-gaap_DeferredCompensationShareBasedArrangementsLiabilityCurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember		 3,703,000us-gaap_DeferredCompensationShareBasedArrangementsLiabilityCurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember		 3,675,000us-gaap_DeferredCompensationShareBasedArrangementsLiabilityCurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember
Stock-based compensation liability, noncurrent 0us-gaap_DeferredCompensationSharebasedArrangementsLiabilityClassifiedNoncurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember		 0us-gaap_DeferredCompensationSharebasedArrangementsLiabilityClassifiedNoncurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember		 0us-gaap_DeferredCompensationSharebasedArrangementsLiabilityClassifiedNoncurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember
Stock-based compensation liability, current and noncurrent 3,703,000us-gaap_DeferredCompensationSharebasedArrangementsLiabilityCurrentAndNoncurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember		 3,703,000us-gaap_DeferredCompensationSharebasedArrangementsLiabilityCurrentAndNoncurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember		 3,675,000us-gaap_DeferredCompensationSharebasedArrangementsLiabilityCurrentAndNoncurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember
Unrecorded stock-based compensation liability, current and noncurrent 4,600,000bah_DeferredCompensationShareBasedArrangementsLiabilityCurrentAndNoncurrentUnrecorded
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember		 4,600,000bah_DeferredCompensationShareBasedArrangementsLiabilityCurrentAndNoncurrentUnrecorded
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember		 7,200,000bah_DeferredCompensationShareBasedArrangementsLiabilityCurrentAndNoncurrentUnrecorded
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_AmendedAndRestatedEquityIncentivePlanMember
Unrecognized compensation cost, amortization period   4 years 3 months  
Stock options | Special Cash Dividend | Rollover Options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation liability, current 28,035,000us-gaap_DeferredCompensationShareBasedArrangementsLiabilityCurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_RolloverOptionsMember		 28,035,000us-gaap_DeferredCompensationShareBasedArrangementsLiabilityCurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_RolloverOptionsMember		 36,247,000us-gaap_DeferredCompensationShareBasedArrangementsLiabilityCurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_RolloverOptionsMember
Stock-based compensation liability, noncurrent 0us-gaap_DeferredCompensationSharebasedArrangementsLiabilityClassifiedNoncurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_RolloverOptionsMember		 0us-gaap_DeferredCompensationSharebasedArrangementsLiabilityClassifiedNoncurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_RolloverOptionsMember		 25,966,000us-gaap_DeferredCompensationSharebasedArrangementsLiabilityClassifiedNoncurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_RolloverOptionsMember
Stock-based compensation liability, current and noncurrent 28,035,000us-gaap_DeferredCompensationSharebasedArrangementsLiabilityCurrentAndNoncurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_RolloverOptionsMember		 28,035,000us-gaap_DeferredCompensationSharebasedArrangementsLiabilityCurrentAndNoncurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_RolloverOptionsMember		 62,213,000us-gaap_DeferredCompensationSharebasedArrangementsLiabilityCurrentAndNoncurrent
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_RolloverOptionsMember
Unrecorded stock-based compensation liability, current and noncurrent $ 0bah_DeferredCompensationShareBasedArrangementsLiabilityCurrentAndNoncurrentUnrecorded
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_RolloverOptionsMember		 $ 0bah_DeferredCompensationShareBasedArrangementsLiabilityCurrentAndNoncurrentUnrecorded
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_RolloverOptionsMember		 $ 0bah_DeferredCompensationShareBasedArrangementsLiabilityCurrentAndNoncurrentUnrecorded
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ bah_DividendTypeAxis
= bah_SpecialCashDividendMember
/ us-gaap_PlanNameAxis
= bah_RolloverOptionsMember