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Contract Costs (Details) $ in Millions	3 Months Ended
	Mar. 31, 2018 USD ($)
Capitalized Contract Cost, Net [Roll Forward]
Capitalized contract cost, net at period start	$ 17
Capitalized	6
Amortization	(1)
Capitalized contract cost, net at period end	$ 22

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://www.xbrl.org/2003/role/presentationRef
-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://www.xbrl.org/2003/role/presentationRef
-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

+ Details

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