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Description of Business, Basis of Presentation and Significant Accounting Policies Aggregate Amortization Expense for Internal and External-Use Software (Detail) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Acquired Intangible Assets Amortization [Line Items]      
Actual 2014 $ 47us-gaap_AmortizationOfIntangibleAssets $ 44us-gaap_AmortizationOfIntangibleAssets $ 37us-gaap_AmortizationOfIntangibleAssets
2015 43us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths    
2016 34us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo    
2017 25us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree    
2018 14us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour    
2019 11us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive    
Internal-use software amortization expense      
Acquired Intangible Assets Amortization [Line Items]      
Actual 2014 6us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= tdc_InternalUseSoftwareMember
   
2015 5us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= tdc_InternalUseSoftwareMember
   
2016 4us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= tdc_InternalUseSoftwareMember
   
2017 3us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= tdc_InternalUseSoftwareMember
   
2018 1us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= tdc_InternalUseSoftwareMember
   
2019 0us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= tdc_InternalUseSoftwareMember
   
External-use software amortization expense      
Acquired Intangible Assets Amortization [Line Items]      
Actual 2014 65us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= tdc_ExternalUseSoftwareMember
   
2015 67us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= tdc_ExternalUseSoftwareMember
   
2016 55us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= tdc_ExternalUseSoftwareMember
   
2017 38us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= tdc_ExternalUseSoftwareMember
   
2018 20us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= tdc_ExternalUseSoftwareMember
   
2019 $ 6us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= tdc_ExternalUseSoftwareMember