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STOCKHOLDERS' EQUITY Redeemable Noncontrolling Interest (Details 4) (USD $)
In Millions, unless otherwise specified
12 Months Ended 1 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Jan. 31, 2014
Stockholders' Equity Attributable to Noncontrolling Interest [Roll Forward]        
Balance at beginning of period $ 53.9us-gaap_RedeemableNoncontrollingInterestEquityCarryingAmount $ 246.9us-gaap_RedeemableNoncontrollingInterestEquityCarryingAmount   $ 53.9us-gaap_RedeemableNoncontrollingInterestEquityCarryingAmount
Redemptions 53.7us-gaap_TemporaryEquityOtherChanges 174.1us-gaap_TemporaryEquityOtherChanges    
Accrued guaranteed payment obligation   3.7us-gaap_TemporaryEquityAccretionOfDividends    
Payments of guaranteed obligations   (18.4)tex_TemporaryEquityPaymentOfGuaranteedObligation    
Reversal of guaranteed obligations   (5.7)tex_TemporaryEquityReversalOfGuaranteedObligation    
Foreign currency translation (0.2)us-gaap_TemporaryEquityForeignCurrencyTranslationAdjustments 1.5us-gaap_TemporaryEquityForeignCurrencyTranslationAdjustments    
Balance at end of period 0us-gaap_RedeemableNoncontrollingInterestEquityCarryingAmount 53.9us-gaap_RedeemableNoncontrollingInterestEquityCarryingAmount 246.9us-gaap_RedeemableNoncontrollingInterestEquityCarryingAmount  
Payments to Noncontrolling Interests 80.3us-gaap_PaymentsToMinorityShareholders 228.1us-gaap_PaymentsToMinorityShareholders 3.5us-gaap_PaymentsToMinorityShareholders  
Decrease from redemptions or purchase of noncontrolling interests 26.9us-gaap_MinorityInterestDecreaseFromRedemptions 54.0us-gaap_MinorityInterestDecreaseFromRedemptions 0us-gaap_MinorityInterestDecreaseFromRedemptions  
Additional Paid-in Capital        
Stockholders' Equity Attributable to Noncontrolling Interest [Roll Forward]        
Decrease from redemptions or purchase of noncontrolling interests 26.9us-gaap_MinorityInterestDecreaseFromRedemptions
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
54.0us-gaap_MinorityInterestDecreaseFromRedemptions
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
0.3us-gaap_MinorityInterestDecreaseFromRedemptions
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember
 
TMHPS AG        
Stockholders' Equity Attributable to Noncontrolling Interest [Roll Forward]        
Payments to Noncontrolling Interests       71.3us-gaap_PaymentsToMinorityShareholders
/ dei_LegalEntityAxis
= tex_TMHPSAGMember
Subsidiary or Equity Method Investee, Cumulative Percentage Ownership after All Transactions 100.00%us-gaap_SubsidiaryOrEquityMethodInvesteeCumulativePercentageOwnershipAfterAllTransactions
/ dei_LegalEntityAxis
= tex_TMHPSAGMember
     
TMHPS AG | Additional Paid-in Capital        
Stockholders' Equity Attributable to Noncontrolling Interest [Roll Forward]        
Decrease from redemptions or purchase of noncontrolling interests $ 17.6us-gaap_MinorityInterestDecreaseFromRedemptions
/ dei_LegalEntityAxis
= tex_TMHPSAGMember
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_AdditionalPaidInCapitalMember