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Business Combinations (Changes In Carrying Amount Of Goodwill By Operating Segment) (Detail) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Apr. 03, 2015
Goodwill [Line Items]  
Balance as of fiscal year 2014 $ 2,101.2us-gaap_Goodwill
Additions due to acquisitions 21.9us-gaap_GoodwillAcquiredDuringPeriod
Purchase price adjustments 1.5us-gaap_GoodwillPurchaseAccountingAdjustments
Foreign currency translation adjustments (52.2)us-gaap_GoodwillTranslationAdjustments
Divestiture (13.0)us-gaap_GoodwillOtherChanges
Balance as of the end of the first quarter of fiscal 2015 2,059.4us-gaap_Goodwill
Engineering And Construction [Member]  
Goodwill [Line Items]  
Balance as of fiscal year 2014 1,186.0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_EngineeringAndConstructionMember
Additions due to acquisitions 11.8us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_EngineeringAndConstructionMember
Purchase price adjustments (0.1)us-gaap_GoodwillPurchaseAccountingAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_EngineeringAndConstructionMember
Foreign currency translation adjustments (44.2)us-gaap_GoodwillTranslationAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_EngineeringAndConstructionMember
Divestiture (13.0)us-gaap_GoodwillOtherChanges
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_EngineeringAndConstructionMember
Balance as of the end of the first quarter of fiscal 2015 1,140.5us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_EngineeringAndConstructionMember
Field Solutions [Member]  
Goodwill [Line Items]  
Balance as of fiscal year 2014 96.0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_FieldSolutionsMember
Additions due to acquisitions 0us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_FieldSolutionsMember
Purchase price adjustments 1.6us-gaap_GoodwillPurchaseAccountingAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_FieldSolutionsMember
Foreign currency translation adjustments (3.3)us-gaap_GoodwillTranslationAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_FieldSolutionsMember
Divestiture 0us-gaap_GoodwillOtherChanges
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_FieldSolutionsMember
Balance as of the end of the first quarter of fiscal 2015 94.3us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_FieldSolutionsMember
Mobile Solutions [Member]  
Goodwill [Line Items]  
Balance as of fiscal year 2014 796.0us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_MobileSolutionsMember
Additions due to acquisitions 10.1us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_MobileSolutionsMember
Purchase price adjustments 0us-gaap_GoodwillPurchaseAccountingAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_MobileSolutionsMember
Foreign currency translation adjustments (3.6)us-gaap_GoodwillTranslationAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_MobileSolutionsMember
Divestiture 0us-gaap_GoodwillOtherChanges
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_MobileSolutionsMember
Balance as of the end of the first quarter of fiscal 2015 802.5us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_MobileSolutionsMember
Advanced Devices [Member]  
Goodwill [Line Items]  
Balance as of fiscal year 2014 23.2us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_AdvancedDevicesMember
Additions due to acquisitions 0us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_AdvancedDevicesMember
Purchase price adjustments 0us-gaap_GoodwillPurchaseAccountingAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_AdvancedDevicesMember
Foreign currency translation adjustments (1.1)us-gaap_GoodwillTranslationAdjustments
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_AdvancedDevicesMember
Divestiture 0us-gaap_GoodwillOtherChanges
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_AdvancedDevicesMember
Balance as of the end of the first quarter of fiscal 2015 $ 22.1us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= trmb_AdvancedDevicesMember