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Business Acquisitions, Goodwill and Acquired Intangible Assets (Goodwill) (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 28, 2014
Dec. 29, 2013
Goodwill [Roll Forward]    
Goodwill, beginning balance $ 1,037.8us-gaap_Goodwill $ 990.2us-gaap_Goodwill
Current year acquisitions 142.8us-gaap_GoodwillAcquiredDuringPeriod 62.5us-gaap_GoodwillAcquiredDuringPeriod
Foreign currency changes and other (30.0)us-gaap_GoodwillTranslationAdjustments (14.9)us-gaap_GoodwillTranslationAdjustments
Goodwill, ending balance 1,150.6us-gaap_Goodwill 1,037.8us-gaap_Goodwill
Instrumentation    
Goodwill [Roll Forward]    
Goodwill, beginning balance 549.5us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_InstrumentationMember
493.8us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_InstrumentationMember
Current year acquisitions 142.8us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_InstrumentationMember
58.1us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_InstrumentationMember
Foreign currency changes and other (12.2)us-gaap_GoodwillTranslationAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_InstrumentationMember
(2.4)us-gaap_GoodwillTranslationAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_InstrumentationMember
Goodwill, ending balance 680.1us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_InstrumentationMember
549.5us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_InstrumentationMember
Digital Imaging    
Goodwill [Roll Forward]    
Goodwill, beginning balance 318.5us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_DigitalImagingMember
327.1us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_DigitalImagingMember
Current year acquisitions 0us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_DigitalImagingMember
4.4us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_DigitalImagingMember
Foreign currency changes and other (16.3)us-gaap_GoodwillTranslationAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_DigitalImagingMember
(13.0)us-gaap_GoodwillTranslationAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_DigitalImagingMember
Goodwill, ending balance 302.2us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_DigitalImagingMember
318.5us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_DigitalImagingMember
Aerospace and Defense Electronics    
Goodwill [Roll Forward]    
Goodwill, beginning balance 145.6us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_AerospaceAndDefenseElectronicsMember
145.2us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_AerospaceAndDefenseElectronicsMember
Current year acquisitions 0us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_AerospaceAndDefenseElectronicsMember
0us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_AerospaceAndDefenseElectronicsMember
Foreign currency changes and other (1.1)us-gaap_GoodwillTranslationAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_AerospaceAndDefenseElectronicsMember
0.4us-gaap_GoodwillTranslationAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_AerospaceAndDefenseElectronicsMember
Goodwill, ending balance 144.5us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_AerospaceAndDefenseElectronicsMember
145.6us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_AerospaceAndDefenseElectronicsMember
Engineered Systems    
Goodwill [Roll Forward]    
Goodwill, beginning balance 24.2us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_EngineeredSystemsMember
24.1us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_EngineeredSystemsMember
Current year acquisitions 0us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_EngineeredSystemsMember
0us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_EngineeredSystemsMember
Foreign currency changes and other (0.4)us-gaap_GoodwillTranslationAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_EngineeredSystemsMember
0.1us-gaap_GoodwillTranslationAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_EngineeredSystemsMember
Goodwill, ending balance $ 23.8us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_EngineeredSystemsMember
$ 24.2us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= tdy_EngineeredSystemsMember