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Derivative Instruments and Hedging Activities - Schedule of Foreign Exchange Contracts (Detail) - USD ($) $ in Millions	1 Months Ended
	Jun. 30, 2018	Dec. 31, 2018	Dec. 31, 2017
Derivative
Net contract notional amount of foreign exchange forward contracts		$ 35	$ 23
Foreign Exchange Contract
Derivative
Notional amount of contracts		256	147
Interest Rate Swap
Derivative
Interest rate swap, agreement period	5 years
Notional amount of contracts	$ 500	$ 500	$ 0

X

- Definition

Aggregate notional amount specified by the derivative(s). Expressed as an absolute value.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher SEC
-Name Regulation S-X (SX)
-Number 210
-Article 12
-Section 13
-Sentence Column B

+ Details

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Namespace Prefix:	invest_
Data Type:	xbrli:monetaryItemType
Balance Type:	na
Period Type:	instant

X

- Definition

Notional Amount Of Foreign Currency Fair Value Hedge Derivatives Net Basis

+ References

No definition available.

+ Details

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Namespace Prefix:	tdc_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- 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.

+ References

No definition available.

+ Details

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Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Period the derivative contract is outstanding, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

X

- Details

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Namespace Prefix:
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X

- Details

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Namespace Prefix:
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Period Type: