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Income Taxes (Income Tax Expense (Benefit) (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 12 Months Ended
Dec. 28, 2014
Sep. 28, 2014
Jun. 29, 2014
Mar. 30, 2014
Dec. 29, 2013
Sep. 29, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 28, 2014
Dec. 29, 2013
Dec. 30, 2012
Current                      
Federal                 $ 57.4us-gaap_CurrentFederalTaxExpenseBenefit $ 21.6us-gaap_CurrentFederalTaxExpenseBenefit $ 44.2us-gaap_CurrentFederalTaxExpenseBenefit
State                 (1.1)us-gaap_CurrentStateAndLocalTaxExpenseBenefit 3.5us-gaap_CurrentStateAndLocalTaxExpenseBenefit 4.8us-gaap_CurrentStateAndLocalTaxExpenseBenefit
Foreign                 9.3us-gaap_CurrentForeignTaxExpenseBenefit 0.2us-gaap_CurrentForeignTaxExpenseBenefit 7.4us-gaap_CurrentForeignTaxExpenseBenefit
Total current                 65.6us-gaap_CurrentIncomeTaxExpenseBenefit 25.3us-gaap_CurrentIncomeTaxExpenseBenefit 56.4us-gaap_CurrentIncomeTaxExpenseBenefit
Deferred                      
Federal                 (0.2)us-gaap_DeferredFederalIncomeTaxExpenseBenefit 18.2us-gaap_DeferredFederalIncomeTaxExpenseBenefit 11.8us-gaap_DeferredFederalIncomeTaxExpenseBenefit
State                 1.0us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit (2.3)us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit 4.4us-gaap_DeferredStateAndLocalIncomeTaxExpenseBenefit
Foreign                 0.1us-gaap_DeferredForeignIncomeTaxExpenseBenefit (1.7)us-gaap_DeferredForeignIncomeTaxExpenseBenefit (7.2)us-gaap_DeferredForeignIncomeTaxExpenseBenefit
Total deferred                 0.9tdy_DeferredIncomeTaxesExpenseBenefit 14.2tdy_DeferredIncomeTaxesExpenseBenefit 9.0tdy_DeferredIncomeTaxesExpenseBenefit
Provision for income taxes $ (0.7)us-gaap_IncomeTaxExpenseBenefit $ (6.1)us-gaap_IncomeTaxExpenseBenefit $ 0.2us-gaap_IncomeTaxExpenseBenefit $ (2.3)us-gaap_IncomeTaxExpenseBenefit $ (6.1)us-gaap_IncomeTaxExpenseBenefit $ (11.6)us-gaap_IncomeTaxExpenseBenefit $ (0.9)us-gaap_IncomeTaxExpenseBenefit $ (2.7)us-gaap_IncomeTaxExpenseBenefit $ 66.5us-gaap_IncomeTaxExpenseBenefit $ 39.5us-gaap_IncomeTaxExpenseBenefit $ 65.4us-gaap_IncomeTaxExpenseBenefit