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Contract Costs (Details) $ in Millions	9 Months Ended
	Sep. 30, 2018 USD ($)
Capitalized Contract Cost, Net [Roll Forward]
Capitalized contract cost, net at period start	$ 17
Capitalized	20
Amortization	(5)
Capitalized contract cost, net at period end	$ 32

X

- Definition

Capitalized Contract Cost, Capitalized Amount

+ References

No definition available.

+ Details

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Namespace Prefix:	tdc_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

Capitalized Contract Cost, Net [Roll Forward]

+ References

No definition available.

+ Details

Name:	tdc_CapitalizedContractCostNetRollForward
Namespace Prefix:	tdc_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Amount of amortization expense for asset recognized from cost incurred to obtain or fulfill contract with customer.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 340
-SubTopic 40
-Section 50
-Paragraph 3
-Subparagraph (b)
-URI http://asc.fasb.org/extlink&oid=68051541&loc=SL49131252-203054

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Amount, after accumulated amortization and accumulated impairment loss, of asset recognized from cost incurred to obtain or fulfill contract with customer.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 340
-SubTopic 40
-Section 50
-Paragraph 3
-Subparagraph (a)
-URI http://asc.fasb.org/extlink&oid=68051541&loc=SL49131252-203054

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Balance Type:	debit
Period Type:	instant