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Business Acquisitions, Goodwill and Acquired Intangible Assets (Purchase Price) (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended 0 Months Ended 12 Months Ended 0 Months Ended
Dec. 28, 2014
Mar. 01, 2013
Dec. 29, 2013
May 08, 2013
Aug. 30, 2013
Oct. 22, 2013
Apr. 03, 2012
Dec. 30, 2012
Business Acquisition [Line Items]                
Goodwill $ 1,150.6us-gaap_Goodwill   $ 1,037.8us-gaap_Goodwill         $ 990.2us-gaap_Goodwill
Photon                
Business Acquisition [Line Items]                
Acquisition date Mar. 30, 2014              
Purchase Price 2.9us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_PhotonMember
             
Goodwill 1.4us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_PhotonMember
             
Acquired Intangible Assets 1.5tdy_BusinessAcquisitionPurchasePriceAllocationIntangibleAssetsAmount
/ us-gaap_BusinessAcquisitionAxis
= tdy_PhotonMember
             
Atlas                
Business Acquisition [Line Items]                
Acquisition date Aug. 07, 2014              
Purchase Price 5.2us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_AtlasMember
             
Goodwill 3.6us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_AtlasMember
             
Acquired Intangible Assets 0.8tdy_BusinessAcquisitionPurchasePriceAllocationIntangibleAssetsAmount
/ us-gaap_BusinessAcquisitionAxis
= tdy_AtlasMember
             
Bolt                
Business Acquisition [Line Items]                
Acquisition date Nov. 18, 2014              
Purchase Price 171.0us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_BoltMember
             
Goodwill 128.8us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_BoltMember
             
Acquired Intangible Assets 41.5tdy_BusinessAcquisitionPurchasePriceAllocationIntangibleAssetsAmount
/ us-gaap_BusinessAcquisitionAxis
= tdy_BoltMember
             
Oceanscience                
Business Acquisition [Line Items]                
Acquisition date Oct. 22, 2014              
Purchase Price 14.7us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_OceanscienceMember
             
Goodwill 9.0us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_OceanscienceMember
             
Acquired Intangible Assets 4.4tdy_BusinessAcquisitionPurchasePriceAllocationIntangibleAssetsAmount
/ us-gaap_BusinessAcquisitionAxis
= tdy_OceanscienceMember
             
RESON                
Business Acquisition [Line Items]                
Acquisition date     Mar. 01, 2013          
Purchase Price   69.7us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_RESONMember
69.7us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_RESONMember
         
Goodwill     35.1us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_RESONMember
         
Acquired Intangible Assets     25.5tdy_BusinessAcquisitionPurchasePriceAllocationIntangibleAssetsAmount
/ us-gaap_BusinessAcquisitionAxis
= tdy_RESONMember
         
Axiom                
Business Acquisition [Line Items]                
Acquisition date     Mar. 08, 2013          
Purchase Price     4.0us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_AxiomMember
4.0us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_AxiomMember
       
Goodwill     3.4us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_AxiomMember
         
Acquired Intangible Assets     0.3tdy_BusinessAcquisitionPurchasePriceAllocationIntangibleAssetsAmount
/ us-gaap_BusinessAcquisitionAxis
= tdy_AxiomMember
         
CETAC                
Business Acquisition [Line Items]                
Acquisition date     Aug. 30, 2013          
Purchase Price     26.4us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_CETACTechnologiesMember
  26.4us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_CETACTechnologiesMember
     
Goodwill     11.1us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_CETACTechnologiesMember
         
Acquired Intangible Assets     6.7tdy_BusinessAcquisitionPurchasePriceAllocationIntangibleAssetsAmount
/ us-gaap_BusinessAcquisitionAxis
= tdy_CETACTechnologiesMember
         
CDL                
Business Acquisition [Line Items]                
Acquisition date     Oct. 22, 2013          
Purchase Price     21.8us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_C.D.LimitedMember
    21.8us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_C.D.LimitedMember
   
Goodwill     11.9us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_C.D.LimitedMember
         
Acquired Intangible Assets     7.8tdy_BusinessAcquisitionPurchasePriceAllocationIntangibleAssetsAmount
/ us-gaap_BusinessAcquisitionAxis
= tdy_C.D.LimitedMember
         
Nova Sensors                
Business Acquisition [Line Items]                
Acquisition date     Jul. 08, 2013          
Purchase Price     4.9us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_NovaSensorsMember
         
Goodwill     0us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_NovaSensorsMember
         
Acquired Intangible Assets     0tdy_BusinessAcquisitionPurchasePriceAllocationIntangibleAssetsAmount
/ us-gaap_BusinessAcquisitionAxis
= tdy_NovaSensorsMember
         
Other investments                
Business Acquisition [Line Items]                
Purchase Price 2.0us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= us-gaap_OtherInvestmentsMember
  1.4us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= us-gaap_OtherInvestmentsMember
         
Goodwill 0us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= us-gaap_OtherInvestmentsMember
  1.0us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= us-gaap_OtherInvestmentsMember
         
Acquired Intangible Assets 0tdy_BusinessAcquisitionPurchasePriceAllocationIntangibleAssetsAmount
/ us-gaap_BusinessAcquisitionAxis
= us-gaap_OtherInvestmentsMember
  0.3tdy_BusinessAcquisitionPurchasePriceAllocationIntangibleAssetsAmount
/ us-gaap_BusinessAcquisitionAxis
= us-gaap_OtherInvestmentsMember
         
Optech Incorporated                
Business Acquisition [Line Items]                
Purchase Price             27.9us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_OptechMember
 
Acquisitions in 2014                
Business Acquisition [Line Items]                
Purchase Price 195.8us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2014Member
             
Goodwill 142.8us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2014Member
             
Acquired Intangible Assets 48.2tdy_BusinessAcquisitionPurchasePriceAllocationIntangibleAssetsAmount
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2014Member
             
Acquisitions in 2013                
Business Acquisition [Line Items]                
Purchase Price     128.2us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2013Member
         
Goodwill     62.5us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2013Member
         
Acquired Intangible Assets     $ 40.6tdy_BusinessAcquisitionPurchasePriceAllocationIntangibleAssetsAmount
/ us-gaap_BusinessAcquisitionAxis
= tdy_Acquisitionsin2013Member