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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, 2015
Dec. 31, 2015
Dec. 31, 2014
Dec. 31, 2013
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Shares authorized to be issued under the Teradata SIP (in shares)     16,400,000 16,400,000    
Weighted-average fair value of options granted for Teradata equity awards       $ 11.37 $ 17.67 $ 18.02
Tax benefit realized from stock options exercises       $ 3,000,000 $ 5,000,000 $ 6,000,000
Restricted stock unit awards granted       2,118,000    
Total stock-based compensation, net of tax     $ 1,000,000 $ 39,000,000 34,000,000 33,000,000
Weighted-average fair value of restricted shares units granted (in usd per share)       $ 32.82    
Compensation expense for restricted stock awards       $ 41,000,000 $ 33,000,000 $ 32,000,000
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%         5.00%
Percentage of authorized payroll deductions for common stock purchases by employees     10.00% 10.00% 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     1,400,000 1,400,000    
Long-Term Strategic PBRSU            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Compensation expense for restricted stock awards       $ 0    
Special 2016 PSRSU            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Share-based Compensation Arrangement by Share-based Payment Award, 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%    
Stock Option            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Total unrecognized compensation cost related to unvested stock grants     $ 30,000,000 $ 30,000,000    
Cost expected to be recognized over a weighted-average period (in years)       3 years    
Restricted Stock            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Total unrecognized compensation cost related to unvested stock grants     $ 96,000,000 $ 96,000,000    
Cost expected to be recognized over a weighted-average period (in years)       2 years 4 months 24 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        
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    
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