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Consolidated Statements of Changes in Stockholders' Equity (USD $) In Millions, unless otherwise specified | Total | Common Stock | Treasury Stock | Paid-in Capital | Retained Earnings | Accumulated Other Comprehensive Income (Loss)
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Beginning Balance at Dec. 31, 2011 | $ 1,494 us-gaap_StockholdersEquity | $ 2 us-gaap_StockholdersEquity / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember | $ (526)us-gaap_StockholdersEquity / us-gaap_StatementEquityComponentsAxis = us-gaap_TreasuryStockMember | $ 765 us-gaap_StockholdersEquity / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember | $ 1,237 us-gaap_StockholdersEquity / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember | $ 16 us-gaap_StockholdersEquity / us-gaap_StatementEquityComponentsAxis = us-gaap_AccumulatedOtherComprehensiveIncomeMember
Beginning Balance (in shares) at Dec. 31, 2011 |  | 187 us-gaap_SharesIssued / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember | (19)us-gaap_SharesIssued / us-gaap_StatementEquityComponentsAxis = us-gaap_TreasuryStockMember |  |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |  |  |
Net income | 419 us-gaap_NetIncomeLoss |  |  |  | 419 us-gaap_NetIncomeLoss / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember |
Employee stock compensation, employee stock purchase programs and option exercises (in shares) |  | 3 tdc_StockIssuedDuringPeriodSharesEmployeeStockCompensationEmployeeStockPurchaseProgramsAndOptionExercises / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember |  |  |  |
Employee stock compensation, employee stock purchase programs and option exercises | 95 us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationAndExerciseOfStockOptions |  |  | 95 us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationAndExerciseOfStockOptions / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember |  |
Income tax benefit from stock compensation plans | 38 us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation |  |  | 38 us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember |  |
Purchases of treasury stock, not retired (in shares) |  |  | (5.0)us-gaap_TreasuryStockSharesAcquired / us-gaap_StatementEquityComponentsAxis = us-gaap_TreasuryStockMember |  |  |
Purchases of treasury stock, not retired | (280)us-gaap_TreasuryStockValueAcquiredCostMethod |  | (280)us-gaap_TreasuryStockValueAcquiredCostMethod / us-gaap_StatementEquityComponentsAxis = us-gaap_TreasuryStockMember |  |  |
Pension and postemployment benefit plans, net of tax | 4 us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentNetOfTax |  |  |  |  | 4 us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentNetOfTax / us-gaap_StatementEquityComponentsAxis = us-gaap_AccumulatedOtherComprehensiveIncomeMember
Unrealized gain on securities | 0 us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax |  |  |  |  |
Currency translation adjustment | 9 us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax |  |  |  |  | 9 us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax / us-gaap_StatementEquityComponentsAxis = us-gaap_AccumulatedOtherComprehensiveIncomeMember
Ending Balance at Dec. 31, 2012 | 1,779 us-gaap_StockholdersEquity | 2 us-gaap_StockholdersEquity / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember | (806)us-gaap_StockholdersEquity / us-gaap_StatementEquityComponentsAxis = us-gaap_TreasuryStockMember | 898 us-gaap_StockholdersEquity / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember | 1,656 us-gaap_StockholdersEquity / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember | 29 us-gaap_StockholdersEquity / us-gaap_StatementEquityComponentsAxis = us-gaap_AccumulatedOtherComprehensiveIncomeMember
Ending Balance (in shares) at Dec. 31, 2012 |  | 190 us-gaap_SharesIssued / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember | (24)us-gaap_SharesIssued / us-gaap_StatementEquityComponentsAxis = us-gaap_TreasuryStockMember |  |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |  |  |
Net income | 377 us-gaap_NetIncomeLoss |  |  |  | 377 us-gaap_NetIncomeLoss / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember |
Employee stock compensation, employee stock purchase programs and option exercises (in shares) |  | 1 tdc_StockIssuedDuringPeriodSharesEmployeeStockCompensationEmployeeStockPurchaseProgramsAndOptionExercises / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember |  |  |  |
Employee stock compensation, employee stock purchase programs and option exercises | 68 us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationAndExerciseOfStockOptions |  |  | 68 us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationAndExerciseOfStockOptions / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember |  |
Income tax benefit from stock compensation plans | 7 us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation |  |  | 7 us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember |  |
Purchases of treasury stock, not retired (in shares) |  |  | (8.0)us-gaap_TreasuryStockSharesAcquired / us-gaap_StatementEquityComponentsAxis = us-gaap_TreasuryStockMember |  |  |
Purchases of treasury stock, not retired | (378)us-gaap_TreasuryStockValueAcquiredCostMethod |  | (378)us-gaap_TreasuryStockValueAcquiredCostMethod / us-gaap_StatementEquityComponentsAxis = us-gaap_TreasuryStockMember |  |  |
Pension and postemployment benefit plans, net of tax | 2 us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentNetOfTax |  |  |  |  | 2 us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentNetOfTax / us-gaap_StatementEquityComponentsAxis = us-gaap_AccumulatedOtherComprehensiveIncomeMember
Unrealized gain on securities | 0 us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax |  |  |  |  |
Currency translation adjustment | 2 us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax |  |  |  |  | 2 us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax / us-gaap_StatementEquityComponentsAxis = us-gaap_AccumulatedOtherComprehensiveIncomeMember
Ending Balance at Dec. 31, 2013 | 1,857 us-gaap_StockholdersEquity | 2 us-gaap_StockholdersEquity / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember | (1,184)us-gaap_StockholdersEquity / us-gaap_StatementEquityComponentsAxis = us-gaap_TreasuryStockMember | 973 us-gaap_StockholdersEquity / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember | 2,033 us-gaap_StockholdersEquity / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember | 33 us-gaap_StockholdersEquity / us-gaap_StatementEquityComponentsAxis = us-gaap_AccumulatedOtherComprehensiveIncomeMember
Ending Balance (in shares) at Dec. 31, 2013 |  | 191 us-gaap_SharesIssued / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember | (32)us-gaap_SharesIssued / us-gaap_StatementEquityComponentsAxis = us-gaap_TreasuryStockMember |  |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |  |  |
Net income | 367 us-gaap_NetIncomeLoss |  |  |  | 367 us-gaap_NetIncomeLoss / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember |
Employee stock compensation, employee stock purchase programs and option exercises (in shares) |  | 2 tdc_StockIssuedDuringPeriodSharesEmployeeStockCompensationEmployeeStockPurchaseProgramsAndOptionExercises / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember |  |  |  |
Employee stock compensation, employee stock purchase programs and option exercises | 77 us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationAndExerciseOfStockOptions |  |  | 78 us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationAndExerciseOfStockOptions / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember |  |
Employee stock compensation, employee stock purchase programs and option exercises |  | (1)tdc_StockIssuedDuringPeriodValueEmployeeStockCompensationEmployeeStockPurchaseProgramsAndOptionExercises / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember |  |  |  |
Income tax benefit from stock compensation plans | 3 us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation |  |  | 3 us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember |  |
Purchases of treasury stock, not retired (in shares) |  | (32.0)us-gaap_TreasuryStockSharesAcquired / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember | 32.0 us-gaap_TreasuryStockSharesAcquired / us-gaap_StatementEquityComponentsAxis = us-gaap_TreasuryStockMember |  |  |
Purchases of treasury stock, not retired | 0 us-gaap_TreasuryStockValueAcquiredCostMethod |  | 1,184 us-gaap_TreasuryStockValueAcquiredCostMethod / us-gaap_StatementEquityComponentsAxis = us-gaap_TreasuryStockMember |  | (1,184)us-gaap_TreasuryStockValueAcquiredCostMethod / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember |
Repurchases of Company common stock retired (in shares) |  | (13)us-gaap_StockRepurchasedAndRetiredDuringPeriodShares / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember |  |  |  |
Repurchases of Company common stock, retired | (560)us-gaap_StockRepurchasedAndRetiredDuringPeriodValue |  |  |  | (560)us-gaap_StockRepurchasedAndRetiredDuringPeriodValue / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember |
Pension and postemployment benefit plans, net of tax | (21)us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentNetOfTax |  |  |  |  | (21)us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentNetOfTax / us-gaap_StatementEquityComponentsAxis = us-gaap_AccumulatedOtherComprehensiveIncomeMember
Unrealized gain on securities | 31 us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax |  |  |  |  | 31 us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax / us-gaap_StatementEquityComponentsAxis = us-gaap_AccumulatedOtherComprehensiveIncomeMember
Currency translation adjustment | (47)us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax |  |  |  |  | (47)us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax / us-gaap_StatementEquityComponentsAxis = us-gaap_AccumulatedOtherComprehensiveIncomeMember
Ending Balance at Dec. 31, 2014 | $ 1,707 us-gaap_StockholdersEquity | $ 1 us-gaap_StockholdersEquity / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember | $ 0 us-gaap_StockholdersEquity / us-gaap_StatementEquityComponentsAxis = us-gaap_TreasuryStockMember | $ 1,054 us-gaap_StockholdersEquity / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember | $ 656 us-gaap_StockholdersEquity / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember | $ (4)us-gaap_StockholdersEquity / us-gaap_StatementEquityComponentsAxis = us-gaap_AccumulatedOtherComprehensiveIncomeMember
Ending Balance (in shares) at Dec. 31, 2014 |  | 148 us-gaap_SharesIssued / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember | 0 us-gaap_SharesIssued / us-gaap_StatementEquityComponentsAxis = us-gaap_TreasuryStockMember |  |  |

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