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Employee Stock Benefit Plans (Schedule Of Weighted-Average Assumptions Used In Employee Stock Purchase Plan) (Details) (Employee Stock Purchase Plan [Member])
12 Months Ended
Jan. 02, 2015
Jan. 03, 2014
Dec. 28, 2012
Employee Stock Purchase Plan [Member]
     
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected dividend yield 0.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
/ us-gaap_PlanNameAxis
= trmb_EmployeeStockPurchasePlanMember
0.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
/ us-gaap_PlanNameAxis
= trmb_EmployeeStockPurchasePlanMember
0.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
/ us-gaap_PlanNameAxis
= trmb_EmployeeStockPurchasePlanMember
Expected stock price volatility 30.50%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate
/ us-gaap_PlanNameAxis
= trmb_EmployeeStockPurchasePlanMember
31.50%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate
/ us-gaap_PlanNameAxis
= trmb_EmployeeStockPurchasePlanMember
37.90%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate
/ us-gaap_PlanNameAxis
= trmb_EmployeeStockPurchasePlanMember
Risk free interest rate 0.07%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate
/ us-gaap_PlanNameAxis
= trmb_EmployeeStockPurchasePlanMember
0.12%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate
/ us-gaap_PlanNameAxis
= trmb_EmployeeStockPurchasePlanMember
0.10%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate
/ us-gaap_PlanNameAxis
= trmb_EmployeeStockPurchasePlanMember
Expected life of purchase, in years 6 months 6 months 6 months