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Summary of Significant Accounting Policies (Revenue Recognition) (Details) (USD $)
In Millions, unless otherwise specified
 12 Months Ended
Dec. 28, 2014
Dec. 29, 2013
Dec. 30, 2012
Change in Accounting Estimate [Line Items]      
Percentage of revenue recognized using the percentage of completion method 28.70%tdy_PercentageofRevenueRecognizedusingthePercentageofCompletionMethod 32.10%tdy_PercentageofRevenueRecognizedusingthePercentageofCompletionMethod 36.70%tdy_PercentageofRevenueRecognizedusingthePercentageofCompletionMethod
Favorable effect of change in accounting estimate on operating income $ 22.9tdy_ChangeInAccountingEstimateFavorableEffectOnOperatingIncome $ 21.4tdy_ChangeInAccountingEstimateFavorableEffectOnOperatingIncome $ 18.0tdy_ChangeInAccountingEstimateFavorableEffectOnOperatingIncome
Unfavorable effect of change in accounting estimate on operating income 25.9tdy_ChangeInAccountingEstimateUnfavorableEffectOnOperatingIncome 23.2tdy_ChangeInAccountingEstimateUnfavorableEffectOnOperatingIncome 19.2tdy_ChangeInAccountingEstimateUnfavorableEffectOnOperatingIncome
Contracts Accounted for under Percentage of Completion      
Change in Accounting Estimate [Line Items]      
Net effect of change in expense (income) estimates on operating income $ 3.0tdy_ChangeInAccountingEstimateEffectOnOperatingIncomeNet
/ us-gaap_ChangeInAccountingEstimateByTypeAxis
= us-gaap_ContractsAccountedForUnderPercentageOfCompletionMember		 $ 1.8tdy_ChangeInAccountingEstimateEffectOnOperatingIncomeNet
/ us-gaap_ChangeInAccountingEstimateByTypeAxis
= us-gaap_ContractsAccountedForUnderPercentageOfCompletionMember		 $ 1.2tdy_ChangeInAccountingEstimateEffectOnOperatingIncomeNet
/ us-gaap_ChangeInAccountingEstimateByTypeAxis
= us-gaap_ContractsAccountedForUnderPercentageOfCompletionMember