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Business Acquisitions, Goodwill and Acquired Intangible Assets (Other Acquired Intangible Assets) (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 28, 2014
Dec. 29, 2013
Schedule of Acquired Intangible Assets by Major Class [Line Items]    
Gross carrying amount $ 338.6us-gaap_FiniteLivedIntangibleAssetsGross $ 309.6us-gaap_FiniteLivedIntangibleAssetsGross
Accumulated amortization 166.8us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization 141.2us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
Net carrying amount 171.8us-gaap_FiniteLivedIntangibleAssetsNet 168.4us-gaap_FiniteLivedIntangibleAssetsNet
Total other acquired intangible assets, gross carrying amount 444.4tdy_AcquiredIntangibleAssetsGrossCarryingAmount 412.1tdy_AcquiredIntangibleAssetsGrossCarryingAmount
Total other acquired intangible assets, accumulated amortization 166.8tdy_AcquiredIntangibleAssetsAccumulatedAmortization 141.2tdy_AcquiredIntangibleAssetsAccumulatedAmortization
Total other acquired intangible assets, net carrying amount 277.6tdy_AcquiredIntangibleAssetsNetCarryingAmount 270.9tdy_AcquiredIntangibleAssetsNetCarryingAmount
Proprietary technology    
Schedule of Acquired Intangible Assets by Major Class [Line Items]    
Gross carrying amount 202.8us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DevelopedTechnologyRightsMember
191.3us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DevelopedTechnologyRightsMember
Accumulated amortization 99.7us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DevelopedTechnologyRightsMember
82.5us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DevelopedTechnologyRightsMember
Net carrying amount 103.1us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DevelopedTechnologyRightsMember
108.8us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DevelopedTechnologyRightsMember
Customer list/relationships    
Schedule of Acquired Intangible Assets by Major Class [Line Items]    
Gross carrying amount 117.6us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= tdy_CustomerListAndRelationshipsMember
100.5us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= tdy_CustomerListAndRelationshipsMember
Accumulated amortization 51.0us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= tdy_CustomerListAndRelationshipsMember
42.7us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= tdy_CustomerListAndRelationshipsMember
Net carrying amount 66.6us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= tdy_CustomerListAndRelationshipsMember
57.8us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= tdy_CustomerListAndRelationshipsMember
Patents    
Schedule of Acquired Intangible Assets by Major Class [Line Items]    
Gross carrying amount 0.7us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
0.7us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
Accumulated amortization 0.6us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
0.6us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
Net carrying amount 0.1us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
0.1us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
Noncompete agreements    
Schedule of Acquired Intangible Assets by Major Class [Line Items]    
Gross carrying amount 0.9us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
0.9us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
Accumulated amortization 0.9us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
0.9us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
Net carrying amount 0us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
0us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
Trademarks    
Schedule of Acquired Intangible Assets by Major Class [Line Items]    
Gross carrying amount 3.4us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
3.3us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
Accumulated amortization 1.9us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
1.7us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
Net carrying amount 1.5us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
1.6us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
Backlog    
Schedule of Acquired Intangible Assets by Major Class [Line Items]    
Gross carrying amount 13.2us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OrderOrProductionBacklogMember
12.9us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OrderOrProductionBacklogMember
Accumulated amortization 12.7us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OrderOrProductionBacklogMember
12.8us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OrderOrProductionBacklogMember
Net carrying amount 0.5us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OrderOrProductionBacklogMember
0.1us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OrderOrProductionBacklogMember
Trademarks    
Schedule of Acquired Intangible Assets by Major Class [Line Items]    
Other acquired intangible assets not subject to amortization $ 105.8us-gaap_IndefinitelivedIntangibleAssetsAcquired
/ us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
$ 102.5us-gaap_IndefinitelivedIntangibleAssetsAcquired
/ us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember