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INCOME TAXES INCOME TAXES (Details 2) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Disclosure Income Taxes [Line Items]      
Deferred tax assets valuation allowance $ 229.1us-gaap_DeferredTaxAssetsValuationAllowance $ 181.8us-gaap_DeferredTaxAssetsValuationAllowance  
Valuation allowance for deferred tax assets, increase in period 47.3us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount 9.6us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount  
(Benefit from) provision for income taxes from continuing operations      
Tax at statutory federal income tax rate 104.0us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate 102.0us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate 44.2us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate
State taxes (net of Federal benefit) 4.5us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes 4.4us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes 2.0us-gaap_IncomeTaxReconciliationStateAndLocalIncomeTaxes
Change in valuation allowance 27.4us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance 6.9us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance 14.2us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance
Foreign tax differential on income/losses of foreign subsidiaries (10.7)us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential 1.4us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential (7.8)us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential
U.S. tax on multi-national operations 4.4us-gaap_IncomeTaxReconciliationTaxCreditsForeign (12.3)us-gaap_IncomeTaxReconciliationTaxCreditsForeign (0.4)us-gaap_IncomeTaxReconciliationTaxCreditsForeign
Change in foreign statutory rates 2.5us-gaap_IncomeTaxReconciliationChangeInEnactedTaxRate 3.6us-gaap_IncomeTaxReconciliationChangeInEnactedTaxRate 3.2us-gaap_IncomeTaxReconciliationChangeInEnactedTaxRate
U.S. manufacturing and export incentives 6.0us-gaap_IncomeTaxReconciliationDeductionsQualifiedProductionActivities 7.1us-gaap_IncomeTaxReconciliationDeductionsQualifiedProductionActivities 4.0us-gaap_IncomeTaxReconciliationDeductionsQualifiedProductionActivities
Tax effect of dispositions (84.9)us-gaap_IncomeTaxReconciliationDispositionOfBusiness (1.5)us-gaap_IncomeTaxReconciliationDispositionOfBusiness (6.3)us-gaap_IncomeTaxReconciliationDispositionOfBusiness
Other (3.5)us-gaap_IncomeTaxReconciliationOtherReconcilingItems (10.0)us-gaap_IncomeTaxReconciliationOtherReconcilingItems 6.4us-gaap_IncomeTaxReconciliationOtherReconcilingItems
Total provision for (benefit from) income taxes 37.7us-gaap_IncomeTaxExpenseBenefit 87.4us-gaap_IncomeTaxExpenseBenefit 51.5us-gaap_IncomeTaxExpenseBenefit
Operating Loss Carryforwards 718us-gaap_OperatingLossCarryforwards    
Deferred Tax Assets, Capital Loss Carryforwards 72.2us-gaap_DeferredTaxAssetsCapitalLossCarryforwards    
Income Taxes Paid, Net 124.1us-gaap_IncomeTaxesPaidNet 171.1us-gaap_IncomeTaxesPaidNet 224.2us-gaap_IncomeTaxesPaidNet
Income Taxes Receivable, Current 87.9us-gaap_IncomeTaxesReceivable 12.3us-gaap_IncomeTaxesReceivable  
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]      
Balance at the Beginning of the Period 83.7us-gaap_UnrecognizedTaxBenefits 148.6us-gaap_UnrecognizedTaxBenefits 169.6us-gaap_UnrecognizedTaxBenefits
Additions for current year tax positions 1.9us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions 0us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions 0us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions
Additions for prior year tax positions 1.2us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromPriorPeriodTaxPositions 10.6us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromPriorPeriodTaxPositions 15.1us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromPriorPeriodTaxPositions
Reductions for prior year tax positions (10.1)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions (17.0)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions (22.3)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions
Reductions for tax positions related to current year 0us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromCurrentPeriodTaxPositions 0us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromCurrentPeriodTaxPositions 0us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromCurrentPeriodTaxPositions
Reductions related to expirations of statute of limitations (2.4)us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations (42.7)us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations (23.2)us-gaap_UnrecognizedTaxBenefitsReductionsResultingFromLapseOfApplicableStatuteOfLimitations
Settlements (0.1)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities (15.8)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities (1.3)us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromSettlementsWithTaxingAuthorities
Acquired balances 0us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromAcquisition 0us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromAcquisition 10.7us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromAcquisition
Balance at the End of the Period 74.2us-gaap_UnrecognizedTaxBenefits 83.7us-gaap_UnrecognizedTaxBenefits 148.6us-gaap_UnrecognizedTaxBenefits
Significant Change in Unrecognized Tax Benefits is Reasonably Possible, Amount of Unrecorded Benefit 30us-gaap_SignificantChangeInUnrecognizedTaxBenefitsIsReasonablyPossibleAmountOfUnrecordedBenefit    
Unrecognized Tax Benefits that Would Impact Effective Tax Rate 41.3us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate    
Income Tax Examination, Penalties and Interest Accrued 12.9us-gaap_IncomeTaxExaminationPenaltiesAndInterestAccrued 13.5us-gaap_IncomeTaxExaminationPenaltiesAndInterestAccrued  
Income Tax Examination, Penalties and Interest Expense (0.6)us-gaap_IncomeTaxExaminationPenaltiesAndInterestExpense (0.6)us-gaap_IncomeTaxExaminationPenaltiesAndInterestExpense  
United Kingdom      
(Benefit from) provision for income taxes from continuing operations      
Operating Loss Carryforwards 80us-gaap_OperatingLossCarryforwards
/ us-gaap_StatementGeographicalAxis
= country_GB
   
Italy      
(Benefit from) provision for income taxes from continuing operations      
Operating Loss Carryforwards 159us-gaap_OperatingLossCarryforwards
/ us-gaap_StatementGeographicalAxis
= country_IT
   
China      
(Benefit from) provision for income taxes from continuing operations      
Operating Loss Carryforwards 56us-gaap_OperatingLossCarryforwards
/ us-gaap_StatementGeographicalAxis
= country_CN
   
Germany      
(Benefit from) provision for income taxes from continuing operations      
Operating Loss Carryforwards 288us-gaap_OperatingLossCarryforwards
/ us-gaap_StatementGeographicalAxis
= country_DE
   
Spain      
(Benefit from) provision for income taxes from continuing operations      
Operating Loss Carryforwards 49us-gaap_OperatingLossCarryforwards
/ us-gaap_StatementGeographicalAxis
= country_ES
   
Other Countries      
(Benefit from) provision for income taxes from continuing operations      
Operating Loss Carryforwards 86us-gaap_OperatingLossCarryforwards
/ us-gaap_StatementGeographicalAxis
= tex_OtherForeignCountriesMember
   
Australia      
(Benefit from) provision for income taxes from continuing operations      
Operating Loss Carryforwards $ 31us-gaap_OperatingLossCarryforwards
/ us-gaap_StatementGeographicalAxis
= us-gaap_AustralianTaxationOfficeMember