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Condensed Consolidated Statements of Cash Flows (USD $)
In Millions, unless otherwise specified
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
CASH FLOWS FROM OPERATING ACTIVITIES:    
Net (loss) income $ (4.9)us-gaap_NetIncomeLoss $ 0.4us-gaap_NetIncomeLoss
Adjustments to reconcile net income (loss) to net cash provided by operating activities:    
Depreciation and amortization expense 67.3us-gaap_DepreciationDepletionAndAmortization 57.6us-gaap_DepreciationDepletionAndAmortization
Amortization of aerial image library, deferred contract costs and lease incentive 4.5dgi_AmortizationOfAerialImageLibraryDeferredContractCostsAndLeaseIncentive 5.0dgi_AmortizationOfAerialImageLibraryDeferredContractCostsAndLeaseIncentive
Non-cash stock-based compensation expense, net of capitalized stock-based compensation expense 4.6us-gaap_ShareBasedCompensation 3.9us-gaap_ShareBasedCompensation
Amortization of debt issuance costs and accretion of debt discount, net of capitalized interest 1.7dgi_InterestExpenseAndOther  
Deferred income taxes (5.9)dgi_DeferredIncomeTaxExpenseBenefitCashFlowImpact 3.8dgi_DeferredIncomeTaxExpenseBenefitCashFlowImpact
Excess tax benefit from share-based compensation (0.9)us-gaap_ExcessTaxBenefitFromShareBasedCompensationOperatingActivities  
Other 0.4us-gaap_OtherNoncashIncomeExpense 1.2us-gaap_OtherNoncashIncomeExpense
Changes in working capital, net of assets acquired and liabilities assumed in business combinations:    
Accounts receivable, net 3.6us-gaap_IncreaseDecreaseInAccountsReceivable 0.1us-gaap_IncreaseDecreaseInAccountsReceivable
Deferred contract costs (4.8)us-gaap_IncreaseDecreaseInDeferredCharges (0.4)us-gaap_IncreaseDecreaseInDeferredCharges
Other current and non-current assets 4.8us-gaap_IncreaseDecreaseInOtherOperatingAssets 6.7us-gaap_IncreaseDecreaseInOtherOperatingAssets
Accounts payable 5.8us-gaap_IncreaseDecreaseInAccountsPayable (12.1)us-gaap_IncreaseDecreaseInAccountsPayable
Accrued liabilities 0.5us-gaap_IncreaseDecreaseInAccruedLiabilities (12.7)us-gaap_IncreaseDecreaseInAccruedLiabilities
Deferred revenue (19.8)us-gaap_IncreaseDecreaseInDeferredRevenue (13.6)us-gaap_IncreaseDecreaseInDeferredRevenue
Net cash flows provided by operating activities 56.9us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations 39.9us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations
CASH FLOWS FROM INVESTING ACTIVITIES:    
Construction in progress additions (30.1)us-gaap_PaymentsForConstructionInProcess (61.8)us-gaap_PaymentsForConstructionInProcess
Property and equipment additions (1.2)us-gaap_PaymentsToAcquireOtherPropertyPlantAndEquipment (2.2)us-gaap_PaymentsToAcquireOtherPropertyPlantAndEquipment
Acquisition of businesses, net of cash acquired   (35.7)us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
Decrease in restricted cash   2.0us-gaap_IncreaseDecreaseInRestrictedCash
Net cash flows used in investing activities (31.3)us-gaap_NetCashProvidedByUsedInInvestingActivitiesContinuingOperations (97.7)us-gaap_NetCashProvidedByUsedInInvestingActivitiesContinuingOperations
CASH FLOWS FROM FINANCING ACTIVITIES:    
Repayment of debt (1.4)us-gaap_RepaymentsOfSeniorDebt (1.4)us-gaap_RepaymentsOfSeniorDebt
Principal payments on capital lease obligations (0.2)us-gaap_RepaymentsOfLongTermCapitalLeaseObligations (0.2)us-gaap_RepaymentsOfLongTermCapitalLeaseObligations
Repurchase of common stock (31.1)us-gaap_PaymentsForRepurchaseOfCommonStock  
Proceeds from exercise of stock options 4.3us-gaap_ProceedsFromStockOptionsExercised 1.8us-gaap_ProceedsFromStockOptionsExercised
Preferred stock dividend payment (1.0)us-gaap_PaymentsOfDividendsPreferredStockAndPreferenceStock (1.0)us-gaap_PaymentsOfDividendsPreferredStockAndPreferenceStock
Excess tax benefit from share-based compensation 0.9us-gaap_ExcessTaxBenefitFromShareBasedCompensationFinancingActivities  
Net cash flows used in financing activities (28.5)us-gaap_NetCashProvidedByUsedInFinancingActivitiesContinuingOperations (0.8)us-gaap_NetCashProvidedByUsedInFinancingActivitiesContinuingOperations
Net decrease in cash and cash equivalents (2.9)us-gaap_NetCashProvidedByUsedInContinuingOperations (58.6)us-gaap_NetCashProvidedByUsedInContinuingOperations
Cash and cash equivalents, beginning of period 117.8us-gaap_CashAndCashEquivalentsAtCarryingValue 229.1us-gaap_CashAndCashEquivalentsAtCarryingValue
Cash and cash equivalents, end of period 114.9us-gaap_CashAndCashEquivalentsAtCarryingValue 170.5us-gaap_CashAndCashEquivalentsAtCarryingValue
SUPPLEMENTAL CASH FLOW INFORMATION:    
Cash paid for interest, net of capitalized amounts of $11.5 million and $21.1 million, respectively 9.6us-gaap_InterestPaidNet  
NON-CASH INVESTING AND FINANCING ACTIVITIES:    
Changes to non-cash property, equipment and construction in progress accruals, including interest 3.2dgi_CapitalAndConstructionInProgressExpendituresIncurredButNotYetPaid 12.0dgi_CapitalAndConstructionInProgressExpendituresIncurredButNotYetPaid
Non-cash preferred stock dividend accrual $ (1.0)dgi_PreferredDividendsAccruedNotYetPaid $ (1.0)dgi_PreferredDividendsAccruedNotYetPaid