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Commitments and Contingencies Future Minimum Operating Lease Payments and Committed Subleases Under Non-cancelable Leases (Detail) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Commitments and Contingencies Disclosure [Abstract]      
Operating lease obligations - Total Amounts $ 72us-gaap_OperatingLeasesFutureMinimumPaymentsDue    
Operating lease obligations - 2015 23us-gaap_OperatingLeasesFutureMinimumPaymentsDueCurrent    
Operating lease obligations - 2016 18us-gaap_OperatingLeasesFutureMinimumPaymentsDueInTwoYears    
Operating lease obligations - 2017 15us-gaap_OperatingLeasesFutureMinimumPaymentsDueInThreeYears    
Operating lease obligations - 2018 12us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFourYears    
Operating lease obligations - 2019 4us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFiveYears    
Sublease rentals - Total Amounts (8)us-gaap_OperatingLeasesFutureMinimumPaymentsReceivable    
Sublease rentals - 2015 (3)us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableCurrent    
Sublease rentals - 2016 (3)us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableInTwoYears    
Sublease rentals - 2017 (2)us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableInThreeYears    
Sublease rentals - 2018 0us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableInFourYears    
Sublease rentals - 2019 0us-gaap_OperatingLeasesFutureMinimumPaymentsReceivableInFiveYears    
Total committed operating leases less sublease rentals - Total Amounts 64tdc_OperatingLeasesFutureMinimumPaymentsNet    
Total committed operating leases less sublease rentals - 2015 20tdc_OperatingLeasesFutureMinimumPaymentsNetCurrent    
Total committed operating leases less sublease rentals - 2016 15tdc_OperatingLeasesFutureMinimumPaymentsNetInTwoYears    
Total committed operating leases less sublease rentals - 2017 13tdc_OperatingLeasesFutureMinimumPaymentsNetInThreeYears    
Total committed operating leases less sublease rentals - 2018 12tdc_OperatingLeasesFutureMinimumPaymentsNetInFourYears    
Total committed operating leases less sublease rentals - 2019 4tdc_OperatingLeasesFutureMinimumPaymentsNetInFiveYears    
Rental expense 26us-gaap_OperatingLeasesRentExpenseMinimumRentals 26us-gaap_OperatingLeasesRentExpenseMinimumRentals 25us-gaap_OperatingLeasesRentExpenseMinimumRentals
Sublease rental income $ 3us-gaap_OperatingLeasesIncomeStatementSubleaseRevenue $ 3us-gaap_OperatingLeasesIncomeStatementSubleaseRevenue $ 3us-gaap_OperatingLeasesIncomeStatementSubleaseRevenue