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Supplemental Balance Sheet Information (Property, Plant and Equipment) (Details) (USD $)
In Millions, unless otherwise specified
Dec. 28, 2014
Dec. 29, 2013
Property, Plant and Equipment [Line Items]    
Property, plant and equipment, gross $ 754.0us-gaap_PropertyPlantAndEquipmentGross $ 724.7us-gaap_PropertyPlantAndEquipmentGross
Accumulated depreciation and amortization (417.5)us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment (367.0)us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment
Total property, plant and equipment, net 336.5us-gaap_PropertyPlantAndEquipmentNet 357.7us-gaap_PropertyPlantAndEquipmentNet
Land    
Property, Plant and Equipment [Line Items]    
Property, plant and equipment, gross 33.7us-gaap_PropertyPlantAndEquipmentGross
/ us-gaap_PropertyPlantAndEquipmentByTypeAxis
= us-gaap_LandMember
34.0us-gaap_PropertyPlantAndEquipmentGross
/ us-gaap_PropertyPlantAndEquipmentByTypeAxis
= us-gaap_LandMember
Buildings    
Property, Plant and Equipment [Line Items]    
Property, plant and equipment, gross 175.3us-gaap_PropertyPlantAndEquipmentGross
/ us-gaap_PropertyPlantAndEquipmentByTypeAxis
= us-gaap_BuildingMember
171.0us-gaap_PropertyPlantAndEquipmentGross
/ us-gaap_PropertyPlantAndEquipmentByTypeAxis
= us-gaap_BuildingMember
Equipment and software    
Property, Plant and Equipment [Line Items]    
Property, plant and equipment, gross $ 545.0us-gaap_PropertyPlantAndEquipmentGross
/ us-gaap_PropertyPlantAndEquipmentByTypeAxis
= tdy_EquipmentAndSoftwareMember
$ 519.7us-gaap_PropertyPlantAndEquipmentGross
/ us-gaap_PropertyPlantAndEquipmentByTypeAxis
= tdy_EquipmentAndSoftwareMember