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Revisions to Previously Reported Financial Information (Details) - USD ($)
$ in Millions
3 Months Ended
Apr. 01, 2016
Apr. 03, 2015
Error Corrections and Prior Period Adjustments Restatement [Line Items]    
Net income $ 19.7 $ 34.0
Foreign currency translation adjustments 28.2 (70.3)
Net unrealized actuarial gain (0.1) 0.1
Comprehensive Income (Loss) 47.8 (36.2)
Less: Comprehensive loss attributable to noncontrolling interests (0.1) (0.1)
Comprehensive Income (Loss) attributable to Trimble Navigation Ltd. $ 47.9 (36.1)
Scenario, Previously Reported [Member]    
Error Corrections and Prior Period Adjustments Restatement [Line Items]    
Net income   34.0
Foreign currency translation adjustments   (67.2)
Net unrealized actuarial gain   0.1
Comprehensive Income (Loss)   (33.1)
Less: Comprehensive loss attributable to noncontrolling interests   (0.1)
Comprehensive Income (Loss) attributable to Trimble Navigation Ltd.   (33.0)
Scenario, Adjustment [Member]    
Error Corrections and Prior Period Adjustments Restatement [Line Items]    
Net income   0.0
Foreign currency translation adjustments   (3.1)
Net unrealized actuarial gain   0.0
Comprehensive Income (Loss)   (3.1)
Less: Comprehensive loss attributable to noncontrolling interests   0.0
Comprehensive Income (Loss) attributable to Trimble Navigation Ltd.   $ (3.1)