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Business Combinations (Schedule Of Intangible Assets) (Detail) (USD $)
In Millions, unless otherwise specified
Apr. 03, 2015
Jan. 02, 2015
Acquired Finite-Lived Intangible Assets [Line Items]    
Intangible Assets, Gross Carrying Amount $ 1,321.9us-gaap_FiniteLivedIntangibleAssetsGross $ 1,355.1us-gaap_FiniteLivedIntangibleAssetsGross
Intangible Assets, Accumulated Amortization (775.7)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization (760.6)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
Total 546.2us-gaap_FiniteLivedIntangibleAssetsNet 594.5us-gaap_FiniteLivedIntangibleAssetsNet
Developed Technology Rights [Member]    
Acquired Finite-Lived Intangible Assets [Line Items]    
Intangible Assets, Gross Carrying Amount 758.1us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DevelopedTechnologyRightsMember
770.4us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DevelopedTechnologyRightsMember
Intangible Assets, Accumulated Amortization (459.8)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DevelopedTechnologyRightsMember
(445.4)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DevelopedTechnologyRightsMember
Total 298.3us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DevelopedTechnologyRightsMember
325.0us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DevelopedTechnologyRightsMember
Trade Names And Trademarks [Member]    
Acquired Finite-Lived Intangible Assets [Line Items]    
Intangible Assets, Gross Carrying Amount 50.5us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= trmb_TradeNamesAndTrademarksMember
51.2us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= trmb_TradeNamesAndTrademarksMember
Intangible Assets, Accumulated Amortization (35.0)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= trmb_TradeNamesAndTrademarksMember
(33.9)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= trmb_TradeNamesAndTrademarksMember
Total 15.5us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= trmb_TradeNamesAndTrademarksMember
17.3us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= trmb_TradeNamesAndTrademarksMember
Customer Relationships [Member]    
Acquired Finite-Lived Intangible Assets [Line Items]    
Intangible Assets, Gross Carrying Amount 435.5us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
455.0us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
Intangible Assets, Accumulated Amortization (225.6)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
(226.8)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
Total 209.9us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
228.2us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
Distribution Rights And Other Intellectual Properties [Member]    
Acquired Finite-Lived Intangible Assets [Line Items]    
Intangible Assets, Gross Carrying Amount 77.8us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DistributionRightsMember
78.5us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DistributionRightsMember
Intangible Assets, Accumulated Amortization (55.3)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DistributionRightsMember
(54.5)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DistributionRightsMember
Total $ 22.5us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DistributionRightsMember
$ 24.0us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_DistributionRightsMember