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Employee Stock-based Compensation Plans - Additional Information (Detail) - USD ($) $ / shares in Units, $ in Millions	1 Months Ended	12 Months Ended
	Jan. 31, 2013	Dec. 31, 2017	Dec. 31, 2016	Dec. 31, 2015
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		$ 11.08	$ 10.68	$ 11.37
Restricted stock unit awards granted		2,044,000
Compensation expense for restricted stock awards		$ 56	$ 51	$ 41
Total stock-based compensation, net of tax		$ 47	$ 49	$ 39
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		4,000,000
Remaining shares authorized to be issued under the Employee Stock Purchase Program		200,000
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		$ 13
Cost expected to be recognized over a weighted-average period (in years)		2 years 4 months 24 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		$ 98
Cost expected to be recognized over a weighted-average period (in years)		2 years 4 months 23 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%

X

- Definition

The amount of expense, net of income tax, recognized during the period arising from equity-based compensation arrangements (for example, shares of stock, unit, stock options or other equity instruments) with employees, directors and certain consultants qualifying for treatment as employees.

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Unrecognized cost of unvested share-based compensation awards.

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-Publisher FASB
-Name Accounting Standards Codification
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-SubTopic 10
-Section 50
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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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The noncash expense that represents the cost of restricted stock or unit distributed to employees as compensation.

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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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Period which an employee's right to exercise an award is no longer contingent on satisfaction of either a service condition, market condition or a performance condition, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Discount rate from fair value on offering date that participants pay for shares.

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The number of grants made during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

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- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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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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- Definition

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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The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology.

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Percentage of vesting of share-based compensation awards.

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- Definition

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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- Definition

The number of shares authorized to be repurchased by an entity's Board of Directors under a stock repurchase plan.

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The remaining number of shares authorized to be repurchased by an entity's Board of Directors under a stock repurchase plan.

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