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Income Taxes (Summary of Danaher's Effective Income Tax Rate) (Details)
3 Months Ended 6 Months Ended
Jun. 29, 2018
Jun. 30, 2017
Jun. 29, 2018
Jun. 30, 2017
Income Tax Disclosure [Abstract]        
Effective tax rate from continuing operations 19.30% 13.60% 19.90% 15.40%