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Supplemental Balance Sheet Information (Selected Balance Sheet) (Details) (USD $)
In Millions, unless otherwise specified
Dec. 28, 2014
Dec. 29, 2013
Selected Components of Balance Sheet    
Deferred tax assets $ (34.5)us-gaap_DeferredTaxAssetsLiabilitiesNet $ (80.4)us-gaap_DeferredTaxAssetsLiabilitiesNet
Prepaid expenses and other current assets    
Selected Components of Balance Sheet    
Deferred tax assets 42.8us-gaap_DeferredTaxAssetsLiabilitiesNet
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember
31.9us-gaap_DeferredTaxAssetsLiabilitiesNet
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember
Income tax receivable 13.6us-gaap_IncomeTaxesReceivable
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember
0us-gaap_IncomeTaxesReceivable
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember
Other assets    
Selected Components of Balance Sheet    
Deferred compensation assets 49.6us-gaap_DeferredCompensationPlanAssets
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherAssetsMember
44.7us-gaap_DeferredCompensationPlanAssets
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_OtherAssetsMember
Accrued liabilities    
Selected Components of Balance Sheet    
Salaries and wages 108.7us-gaap_EmployeeRelatedLiabilitiesCurrent
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_AccruedLiabilitiesMember
103.2us-gaap_EmployeeRelatedLiabilitiesCurrent
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_AccruedLiabilitiesMember
Customer deposits and credits 47.9us-gaap_DeferredRevenueAndCreditsCurrent
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_AccruedLiabilitiesMember
55.6us-gaap_DeferredRevenueAndCreditsCurrent
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_AccruedLiabilitiesMember
Product warranty reserves 14.9us-gaap_ProductWarrantyAccrualClassifiedCurrent
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_AccruedLiabilitiesMember
14.1us-gaap_ProductWarrantyAccrualClassifiedCurrent
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_AccruedLiabilitiesMember
Other long-term liabilities    
Selected Components of Balance Sheet    
Accrued pension obligation 14.2tdy_AccruedPensionObligationCurrent
/ us-gaap_BalanceSheetLocationAxis
= tdy_OtherLongTermLiabilitiesMember
8.5tdy_AccruedPensionObligationCurrent
/ us-gaap_BalanceSheetLocationAxis
= tdy_OtherLongTermLiabilitiesMember
Accrued postretirement benefits 11.6tdy_AccruedPostretirementObligationCurrent
/ us-gaap_BalanceSheetLocationAxis
= tdy_OtherLongTermLiabilitiesMember
10.3tdy_AccruedPostretirementObligationCurrent
/ us-gaap_BalanceSheetLocationAxis
= tdy_OtherLongTermLiabilitiesMember
Deferred tax liabilities 77.3us-gaap_DeferredTaxLiabilities
/ us-gaap_BalanceSheetLocationAxis
= tdy_OtherLongTermLiabilitiesMember
112.3us-gaap_DeferredTaxLiabilities
/ us-gaap_BalanceSheetLocationAxis
= tdy_OtherLongTermLiabilitiesMember
Deferred compensation liabilities $ 45.8us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent
/ us-gaap_BalanceSheetLocationAxis
= tdy_OtherLongTermLiabilitiesMember
$ 43.1us-gaap_DeferredCompensationLiabilityClassifiedNoncurrent
/ us-gaap_BalanceSheetLocationAxis
= tdy_OtherLongTermLiabilitiesMember