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Business Acquisitions, Goodwill and Acquired Intangible Assets (Assets Acquired and Liabilities Assumed) (Details) (USD $)
In Millions, unless otherwise specified
Dec. 28, 2014
Dec. 29, 2013
Dec. 30, 2012
Business Acquisition [Line Items]      
Goodwill $ 1,150.6us-gaap_Goodwill $ 1,037.8us-gaap_Goodwill $ 990.2us-gaap_Goodwill
Acquisitions in 2014      
Business Acquisition [Line Items]      
Current assets, excluding cash acquired 34.0tdy_BusinessCombinationRecognizedIdentifiableAssetsAcquiredandLiabilitiesAssumedCurrentAssetsExcludingCashandEquivalents
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2014Member
   
Property, plant and equipment 8.7us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2014Member
   
Goodwill 142.8us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2014Member
   
Other acquired intangible assets 48.2us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2014Member
   
Other long-term assets 5.3us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2014Member
   
Total assets acquired 239.0us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2014Member
   
Current liabilities (26.0)us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilities
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2014Member
   
Long-term liabilities (17.2)us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilities
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2014Member
   
Total liabilities assumed (43.2)us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2014Member
   
Noncontrolling interests (a) 0us-gaap_BusinessCombinationAcquisitionOfLessThan100PercentNoncontrollingInterestFairValue
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2014Member
   
Purchase price, net of cash acquired 195.8us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2014Member
   
Acquisitions in 2013      
Business Acquisition [Line Items]      
Current assets, excluding cash acquired   40.1tdy_BusinessCombinationRecognizedIdentifiableAssetsAcquiredandLiabilitiesAssumedCurrentAssetsExcludingCashandEquivalents
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2013Member
 
Property, plant and equipment   8.3us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2013Member
 
Goodwill   62.5us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2013Member
 
Other acquired intangible assets   40.6us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2013Member
 
Other long-term assets   0us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2013Member
 
Total assets acquired   151.5us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2013Member
 
Current liabilities   (21.4)us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilities
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2013Member
 
Long-term liabilities   (6.8)us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilities
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2013Member
 
Total liabilities assumed   (28.2)us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLiabilities
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2013Member
 
Noncontrolling interests (a)   4.9us-gaap_BusinessCombinationAcquisitionOfLessThan100PercentNoncontrollingInterestFairValue
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2013Member
 
Purchase price, net of cash acquired   $ 128.2us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2013Member