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Income Taxes (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Dec. 31, 2014
Income Taxes (Textuals) [Abstract]      
Tax Expense $ 123us-gaap_IncomeTaxExpenseBenefit $ 8us-gaap_IncomeTaxExpenseBenefit  
Income (Loss) before Income Taxes 359us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest (30)us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest  
Effective Income Tax Rate Reconciliation, Other Adjustments, Amount 4us-gaap_IncomeTaxReconciliationTaxContingenciesForeign    
Deferred Tax Asset Valuation Allowance Release Reasonably Possible Tax Benefit 80gt_DeferredTaxAssetValuationAllowanceReleaseReasonablyPossibleTaxBenefit    
Unrecognized tax benefits     81us-gaap_UnrecognizedTaxBenefits
Favorable impact of unrecognized tax benefits if recognized     65us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate
Accrued interest     15us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued
Unsettled unrecognized tax benefits that would require cash     26gt_UnsettledUnrecognizedTaxBenefitsThatWouldRequireCash
Significant Change in Unrecognized Tax Benefits is Reasonably Possible, Amount of Unrecorded Benefit     15us-gaap_SignificantChangeInUnrecognizedTaxBenefitsIsReasonablyPossibleAmountOfUnrecordedBenefit
Accrued Interest Favorably Settled In Next Twelve Months     $ 5gt_AccruedInterestFavorablySettledInNextTwelveMonths