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Employee Stock-based Compensation Plans Employee Purchases and Aggregate Cost (Details) (Employee Stock Puchase Program, USD $)
In Millions, unless otherwise specified
 12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Employee Stock Puchase Program
      
Equity, Class of Treasury Stock [Line Items]      
Employee share purchases (in shares) 0.4us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans
/ us-gaap_ShareRepurchaseProgramAxis
= tdc_EmployeeStockPuchaseProgramMember		 0.4us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans
/ us-gaap_ShareRepurchaseProgramAxis
= tdc_EmployeeStockPuchaseProgramMember		 0.2us-gaap_StockIssuedDuringPeriodSharesEmployeeStockPurchasePlans
/ us-gaap_ShareRepurchaseProgramAxis
= tdc_EmployeeStockPuchaseProgramMember
Aggregate cost $ 18us-gaap_StockIssuedDuringPeriodValueEmployeeStockPurchasePlan
/ us-gaap_ShareRepurchaseProgramAxis
= tdc_EmployeeStockPuchaseProgramMember		 $ 20us-gaap_StockIssuedDuringPeriodValueEmployeeStockPurchasePlan
/ us-gaap_ShareRepurchaseProgramAxis
= tdc_EmployeeStockPuchaseProgramMember		 $ 12us-gaap_StockIssuedDuringPeriodValueEmployeeStockPurchasePlan
/ us-gaap_ShareRepurchaseProgramAxis
= tdc_EmployeeStockPuchaseProgramMember