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Employee Stock-based Compensation Plans - Additional Information (Detail) - USD ($)
1 Months Ended 3 Months Ended 12 Months Ended
Jan. 31, 2013
Dec. 31, 2012
Dec. 31, 2016
Dec. 31, 2016
Dec. 31, 2015
Dec. 31, 2014
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Shares authorized to be issued under the Teradata SIP (in shares)     17,500,000 17,500,000    
Weighted-average fair value of options granted for Teradata equity awards       $ 10.68 $ 11.37 $ 17.67
Restricted stock unit awards granted       2,209,000    
Compensation expense for restricted stock awards       $ 51,000,000 $ 41,000,000 $ 33,000,000
Total stock-based compensation, net of tax     $ 1,000,000 $ 49,000,000 $ 39,000,000 $ 34,000,000
Employee Stock Purchase Program            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Employee stock purchase program discount from average market price 15.00%          
Percentage of authorized payroll deductions for common stock purchases by employees     10.00% 10.00%    
Shares authorized to be issued under the Employee Stock Purchase Program     4,000,000 4,000,000    
Remaining shares authorized to be issued under the Employee Stock Purchase Program     1,000,000 1,000,000    
Employee Stock Option            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Stock option, term       10 years    
Vesting period (in years)       4 years    
Stock Option            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Total unrecognized compensation cost related to unvested stock grants     $ 24,000,000 $ 24,000,000    
Cost expected to be recognized over a weighted-average period (in years)       3 years 2 months 12 days    
Service-Based Awards | Minimum            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Vesting period (in years)       3 years    
Performance Based Awards | Minimum            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Vesting period (in years)       1 year    
Performance Based Awards | Maximum            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Vesting period (in years)       4 years    
Restricted Stock            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Total unrecognized compensation cost related to unvested stock grants     $ 86,000,000 $ 86,000,000    
Cost expected to be recognized over a weighted-average period (in years)       2 years 3 months 23 days    
Restricted Stock Units With Market Based Performance Criteria            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Restricted stock unit awards granted   300,000        
Special 2016 PSRSU            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Award subjective performance period       4 years    
Compensation expense for restricted stock awards       $ 0    
Service period       3 years    
Special 2016 PSRSU | Minimum            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Performance share percentage       0.00%    
Special 2016 PSRSU | Maximum            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Performance share percentage       200.00%    
Long-Term Strategic PBRSU            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Compensation expense for restricted stock awards       $ 0