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STOCKHOLDERS' EQUITY - Share Based Comp (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Mar. 12, 2019
Mar. 08, 2018
Mar. 02, 2017
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Share-based compensation arrangements            
Acquisition of Treasury Stock       $ 7.7 $ 427.8 $ 926.6
Weighted Average Grant Date Fair Value            
Tax benefit related to stock-based compensation arrangements (in dollars)       $ 7.3 4.6 11.8
Restricted Stock, Time-Based            
Weighted Average Grant Date Fair Value            
Share-Based Compensation Arrangement By Share-based Payment Award, Equity Instruments Other than Options, Percentage Of Awards       48.00%    
Performance Shares            
Weighted Average Grant Date Fair Value            
Share-Based Compensation Arrangement By Share-based Payment Award, Equity Instruments Other than Options, Percentage Of Awards       35.00%    
Restricted Stock Awards            
Assumptions used in valuation            
Unrecognized compensation costs (in dollars)       $ 37.0    
Weighted average period of unrecognized compensation costs will be recognized (in years)       1 year 8 months 12 days    
Total fair value of shares vested (in dollars)       $ 44.1 $ 34.9 $ 36.0
Restricted Stock Awards            
Nonvested at the beginning of the period (in shares)       2,976,227    
Granted (in shares)       1,137,983    
Vested (in shares)       (1,432,294)    
Canceled or expired (in shares)       (239,656)    
Nonvested at the end of the period (in shares)       2,442,260 2,976,227  
Weighted Average Grant Date Fair Value            
Nonvested at the beginning of the period (in dollars per shares)       $ 34.32    
Granted (in dollars per shares)       33.84 $ 40.06 $ 32.54
Vested (in dollars per shares)       30.82    
Cancelled or expired (in dollars per shares)       32.76    
Nonvested at the end of the period (in dollars per shares)       $ 35.53 $ 34.32  
Market Condition Award            
Share-based compensation arrangements            
Number of shares of restricted stock with fair value based on market condition, instead of market price (in shares)       400,000    
Weighted Average Grant Date Fair Value            
Share-Based Compensation Arrangement By Share-based Payment Award, Equity Instruments Other than Options, Percentage Of Awards       17.00%    
Terex Corporation 2009 Omnibus Incentive Plan (the 2009 Plan) | Maximum            
Share-based compensation arrangements            
Shares authorized for issuance (in shares)       8,000,000.0    
Terex Corporation 2018 Omnibus Incentive Plan            
Share-based compensation arrangements            
Shares available for grant (in shares)       2,300,000    
Terex Corporation 2018 Omnibus Incentive Plan | Maximum            
Share-based compensation arrangements            
Shares authorized for issuance (in shares)       1,200,000    
Grant Date, March 12, 2019 [Member] [Domain] [Member] | Market Condition Award            
Assumptions used in valuation            
Dividend yields (as a percent) 1.31%          
Expected volatility (as a percent) 36.64%          
Risk-free interest rate (as a percent) 2.40%          
Expected life (in years) 3 years          
Weighted Average Grant Date Fair Value            
Granted (in dollars per shares) $ 38.77          
March 12, 2019 | Market Condition Award            
Assumptions used in valuation            
Dividend yields (as a percent)     1.01%      
Expected volatility (as a percent)     42.78%      
Risk-free interest rate (as a percent)     1.55%      
Expected life (in years)     3 years      
Weighted Average Grant Date Fair Value            
Granted (in dollars per shares)     $ 36.48      
Grant Date, March 8, 2018 | Market Condition Award            
Assumptions used in valuation            
Dividend yields (as a percent)   1.00%        
Expected volatility (as a percent)   40.41%        
Risk-free interest rate (as a percent)   2.38%        
Expected life (in years)   3 years        
Weighted Average Grant Date Fair Value            
Granted (in dollars per shares)   $ 41.57        
Share repurchase program approved by Board of Directors            
Share-based compensation arrangements            
Acquisition of Treasury Stock       $ 4.9 $ 425.0 $ 923.7
Acquisition of Treasury Stock (in shares)       200,000 11,400,000 25,700,000