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Shareholders' Equity (Narrative) (Detail) (USD $)
In Millions, except Share data, unless otherwise specified
3 Months Ended
Apr. 03, 2015
Apr. 04, 2014
Sep. 27, 2013
Aug. 31, 2014
Equity, Class of Stock [Line Items]        
Stock repurchased during period, shares   0us-gaap_StockRepurchasedDuringPeriodShares    
Stock Repurchased and Retired During Period, Shares 478,000us-gaap_StockRepurchasedAndRetiredDuringPeriodShares 0us-gaap_StockRepurchasedAndRetiredDuringPeriodShares    
Common Stock Acquired and Retired, Average Cost Per Share $ 26.34trmb_CommonStockAcquiredandRetiredAverageCostPerShare      
Stock Repurchased and Retired During Period, Value $ 12.6us-gaap_StockRepurchasedAndRetiredDuringPeriodValue      
Restricted Stock Units (RSUs) [Member]        
Equity, Class of Stock [Line Items]        
Restricted Stock Unit Award Vesting Period 3 years      
2014 Stock Repurchase Program [Member]        
Equity, Class of Stock [Line Items]        
Stock repurchase program approved amount       300.0us-gaap_StockRepurchaseProgramAuthorizedAmount1
/ us-gaap_ShareRepurchaseProgramAxis
= trmb_TwoThousandFourteenStockRepurchaseProgramMember
Stock Repurchase Program, Remaining Authorized Repurchase Amount 237.4us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1
/ us-gaap_ShareRepurchaseProgramAxis
= trmb_TwoThousandFourteenStockRepurchaseProgramMember
     
Retained Earnings [Member]        
Equity, Class of Stock [Line Items]        
Stock Repurchased and Retired During Period, Value $ 10.4us-gaap_StockRepurchasedAndRetiredDuringPeriodValue
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
  $ 55.5us-gaap_StockRepurchasedAndRetiredDuringPeriodValue
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
 
Minimum | Employee Stock Option [Member]        
Equity, Class of Stock [Line Items]        
Restricted Stock Unit Award Vesting Period 4 years      
Maximum | Employee Stock Option [Member]        
Equity, Class of Stock [Line Items]        
Restricted Stock Unit Award Vesting Period 5 years