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Employee Stock-based Compensation Plans - Additional Information (Detail) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Dec. 31, 2018	Dec. 31, 2017	Dec. 31, 2016
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
Weighted-average fair value of options granted for Teradata equity awards (in usd per share)	$ 0	$ 11.08	$ 10.68
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%
Shares authorized to be issued under the Employee Stock Purchase Program	7,000,000
Remaining shares authorized to be issued under the Employee Stock Purchase Program	2,700,000
Employee Stock Option
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock option, term (in years)	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	$ 6
Cost expected to be recognized over a weighted-average period (in years)	1 year 8 months
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)	3 years
Restricted Stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total unrecognized compensation cost related to unvested stock grants	$ 67
Cost expected to be recognized over a weighted-average period (in years)	1 year 11 months 12 days
Special 2016 PSRSU
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
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%

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Unrecognized cost of unvested share-based compensation awards.

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Weighted average period over which unrecognized compensation is expected to be recognized for equity-based compensation plans, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Estimated period over which an employee is required to provide service in exchange for the equity-based payment award, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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The highest percentage of annual salary that an employee is permitted to utilize with respect to the plan.

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The maximum number of shares (or other type of equity) originally approved (usually by shareholders and board of directors), net of any subsequent amendments and adjustments, for awards under the equity-based compensation plan. As stock or unit options and equity instruments other than options are awarded to participants, the shares or units remain authorized and become reserved for issuance under outstanding awards (not necessarily vested).

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Period from grant date that an equity-based award expires, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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