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Condensed Consolidated Statements of Cash Flows (Unaudited) (USD $)
In Thousands, unless otherwise specified
9 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Cash flows from operating activities    
Net income $ 189,206us-gaap_NetIncomeLoss $ 185,293us-gaap_NetIncomeLoss
Adjustments to reconcile net income to net cash provided by operating activities:    
Depreciation and amortization 47,233us-gaap_DepreciationDepletionAndAmortization 54,377us-gaap_DepreciationDepletionAndAmortization
Stock-based compensation expense 19,954us-gaap_ShareBasedCompensation 14,119us-gaap_ShareBasedCompensation
Excess tax benefits from the exercise of stock options (48,452)us-gaap_ExcessTaxBenefitFromShareBasedCompensationOperatingActivities (36,844)us-gaap_ExcessTaxBenefitFromShareBasedCompensationOperatingActivities
Amortization of debt issuance costs and loss on extinguishment 9,538us-gaap_AmortizationOfFinancingCostsAndDiscounts 9,444us-gaap_AmortizationOfFinancingCostsAndDiscounts
Losses on dispositions and impairments 1,396bah_LossesonDispositionofPropertyandIntangibleImpairment 911bah_LossesonDispositionofPropertyandIntangibleImpairment
Changes in assets and liabilities:    
Accounts receivable 73,088us-gaap_IncreaseDecreaseInAccountsReceivable 140,785us-gaap_IncreaseDecreaseInAccountsReceivable
Prepaid expenses and other current assets 15,008us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets 19,963us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets
Other long-term assets 773us-gaap_IncreaseDecreaseInOtherNoncurrentAssets (1,679)us-gaap_IncreaseDecreaseInOtherNoncurrentAssets
Accrued compensation and benefits (31,390)us-gaap_IncreaseDecreaseInEmployeeRelatedLiabilities (25,824)us-gaap_IncreaseDecreaseInEmployeeRelatedLiabilities
Accounts payable and other accrued expenses (56,419)us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities (15,619)us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities
Accrued interest 7,467us-gaap_IncreaseDecreaseInInterestPayableNet (630)us-gaap_IncreaseDecreaseInInterestPayableNet
Other current liabilities 1,582us-gaap_IncreaseDecreaseInOtherOperatingLiabilities (48,610)us-gaap_IncreaseDecreaseInOtherOperatingLiabilities
Other long-term liabilities (926)us-gaap_IncreaseDecreaseInOtherNoncurrentLiabilities (3,352)us-gaap_IncreaseDecreaseInOtherNoncurrentLiabilities
Net cash provided by operating activities 228,058us-gaap_NetCashProvidedByUsedInOperatingActivities 292,334us-gaap_NetCashProvidedByUsedInOperatingActivities
Cash flows from investing activities    
Purchases of property and equipment 17,466us-gaap_PaymentsToAcquirePropertyPlantAndEquipment 12,344us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
Cash paid for business acquisitions, net of cash acquired 23,907us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired (3,563)us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
Escrow receipts 0us-gaap_IncreaseDecreaseInDepositOtherAssets (3,282)us-gaap_IncreaseDecreaseInDepositOtherAssets
Net cash used in investing activities (41,373)us-gaap_NetCashProvidedByUsedInInvestingActivities (5,499)us-gaap_NetCashProvidedByUsedInInvestingActivities
Cash flows from financing activities    
Net proceeds from issuance of common stock 3,699us-gaap_ProceedsFromIssuanceOfCommonStock 3,785us-gaap_ProceedsFromIssuanceOfCommonStock
Stock option exercises 4,272us-gaap_ProceedsFromStockOptionsExercised 12,773us-gaap_ProceedsFromStockOptionsExercised
Excess tax benefits from the exercise of stock options 48,452us-gaap_ExcessTaxBenefitFromShareBasedCompensationFinancingActivities 36,844us-gaap_ExcessTaxBenefitFromShareBasedCompensationFinancingActivities
Repurchases of common stock (33,369)us-gaap_PaymentsForRepurchaseOfCommonStock (2,935)us-gaap_PaymentsForRepurchaseOfCommonStock
Cash dividends paid 195,924bah_PaymentsofOrdinaryDividendsAndSpecialDividendsCommonStock 186,828bah_PaymentsofOrdinaryDividendsAndSpecialDividendsCommonStock
Dividend equivalents paid to option holders (47,006)us-gaap_PaymentsOfCapitalDistribution (52,065)us-gaap_PaymentsOfCapitalDistribution
Debt issuance costs (8,610)us-gaap_PaymentsOfFinancingCosts (6,223)us-gaap_PaymentsOfFinancingCosts
Repayment of debt (219,188)us-gaap_RepaymentsOfDebt (289,406)us-gaap_RepaymentsOfDebt
Proceeds from debt issuance 198,438us-gaap_ProceedsFromIssuanceOfLongTermDebt 250,000us-gaap_ProceedsFromIssuanceOfLongTermDebt
Net cash used in financing activities (249,236)us-gaap_NetCashProvidedByUsedInFinancingActivities (234,055)us-gaap_NetCashProvidedByUsedInFinancingActivities
Net (decrease) increase in cash and cash equivalents (62,551)us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease 52,780us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease
Cash and cash equivalents-beginning of period 259,994us-gaap_CashAndCashEquivalentsAtCarryingValue 350,384us-gaap_CashAndCashEquivalentsAtCarryingValue
Cash and cash equivalents-end of period 197,443us-gaap_CashAndCashEquivalentsAtCarryingValue 403,164us-gaap_CashAndCashEquivalentsAtCarryingValue
Cash paid during the period for:    
Interest 36,552us-gaap_InterestPaid 46,927us-gaap_InterestPaid
Income taxes $ 114,276us-gaap_IncomeTaxesPaidNet $ 140,893us-gaap_IncomeTaxesPaidNet