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Business Segments (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Sales:    
Net Sales $ 4,024us-gaap_SalesRevenueGoodsNet $ 4,469us-gaap_SalesRevenueGoodsNet
Segment Operating Income:    
Operating Income 391us-gaap_OperatingIncomeLoss 373us-gaap_OperatingIncomeLoss
Less:    
Rationalizations (Note 2) 16us-gaap_RestructuringCharges 41us-gaap_RestructuringCharges
Interest expense 103us-gaap_InterestExpense 105us-gaap_InterestExpense
Other (income) expense (128)us-gaap_OtherNonoperatingIncomeExpense 168us-gaap_OtherNonoperatingIncomeExpense
Asset write-offs and accelerated depreciation 3gt_SegmentAssetWriteOffsAndAcceleratedDepreciation 1gt_SegmentAssetWriteOffsAndAcceleratedDepreciation
Corporate incentive compensation plans 13gt_CorporateIncentiveCompensationPlans 27gt_CorporateIncentiveCompensationPlans
Pension curtailments/settlements 0gt_DefinedBenefitPlanRecognizedNetGainLossDueToSettlementsCurtailmentsAndTerminationBenefits 33gt_DefinedBenefitPlanRecognizedNetGainLossDueToSettlementsCurtailmentsAndTerminationBenefits
Intercompany profit elimination 6gt_IntercompanyProfitElimination 13gt_IntercompanyProfitElimination
Retained expenses of divested operations 2gt_RetainedExpensesOfDivestedOperations 4gt_RetainedExpensesOfDivestedOperations
Other 17gt_OtherExpense 11gt_OtherExpense
Income (Loss) before Income Taxes 359us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest (30)us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest
Recognition of Deferred Revenue 155us-gaap_RecognitionOfDeferredRevenue 0us-gaap_RecognitionOfDeferredRevenue
North America    
Sales:    
Net Sales 1,858us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= us-gaap_NorthAmericaMember
1,879us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= us-gaap_NorthAmericaMember
Segment Operating Income:    
Operating Income 198us-gaap_OperatingIncomeLoss
/ us-gaap_StatementGeographicalAxis
= us-gaap_NorthAmericaMember
156us-gaap_OperatingIncomeLoss
/ us-gaap_StatementGeographicalAxis
= us-gaap_NorthAmericaMember
Less:    
Rationalizations (Note 2) 0us-gaap_RestructuringCharges
/ us-gaap_StatementGeographicalAxis
= us-gaap_NorthAmericaMember
(1)us-gaap_RestructuringCharges
/ us-gaap_StatementGeographicalAxis
= us-gaap_NorthAmericaMember
Pension curtailments/settlements   33gt_DefinedBenefitPlanRecognizedNetGainLossDueToSettlementsCurtailmentsAndTerminationBenefits
/ us-gaap_StatementGeographicalAxis
= us-gaap_NorthAmericaMember
EMEA    
Sales:    
Net Sales 1,331us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= us-gaap_EMEAMember
1,676us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= us-gaap_EMEAMember
Segment Operating Income:    
Operating Income 73us-gaap_OperatingIncomeLoss
/ us-gaap_StatementGeographicalAxis
= us-gaap_EMEAMember
110us-gaap_OperatingIncomeLoss
/ us-gaap_StatementGeographicalAxis
= us-gaap_EMEAMember
Less:    
Rationalizations (Note 2) 15us-gaap_RestructuringCharges
/ us-gaap_StatementGeographicalAxis
= us-gaap_EMEAMember
38us-gaap_RestructuringCharges
/ us-gaap_StatementGeographicalAxis
= us-gaap_EMEAMember
Asset write-offs and accelerated depreciation 3gt_SegmentAssetWriteOffsAndAcceleratedDepreciation
/ us-gaap_StatementGeographicalAxis
= us-gaap_EMEAMember
1gt_SegmentAssetWriteOffsAndAcceleratedDepreciation
/ us-gaap_StatementGeographicalAxis
= us-gaap_EMEAMember
Latin America [Member]    
Sales:    
Net Sales 385us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= us-gaap_LatinAmericaMember
422us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= us-gaap_LatinAmericaMember
Segment Operating Income:    
Operating Income 53us-gaap_OperatingIncomeLoss
/ us-gaap_StatementGeographicalAxis
= us-gaap_LatinAmericaMember
42us-gaap_OperatingIncomeLoss
/ us-gaap_StatementGeographicalAxis
= us-gaap_LatinAmericaMember
Asia Pacific    
Sales:    
Net Sales 450us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= us-gaap_AsiaPacificMember
492us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= us-gaap_AsiaPacificMember
Segment Operating Income:    
Operating Income 67us-gaap_OperatingIncomeLoss
/ us-gaap_StatementGeographicalAxis
= us-gaap_AsiaPacificMember
65us-gaap_OperatingIncomeLoss
/ us-gaap_StatementGeographicalAxis
= us-gaap_AsiaPacificMember
Less:    
Rationalizations (Note 2) $ 1us-gaap_RestructuringCharges
/ us-gaap_StatementGeographicalAxis
= us-gaap_AsiaPacificMember
$ 4us-gaap_RestructuringCharges
/ us-gaap_StatementGeographicalAxis
= us-gaap_AsiaPacificMember