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Income Taxes (Summary of Danaher's Effective Income Tax Rate) (Details)
3 Months Ended 9 Months Ended
Sep. 28, 2018
Sep. 29, 2017
Sep. 28, 2018
Sep. 29, 2017
Income Tax Disclosure [Abstract]        
Effective tax rate from continuing operations 17.20% 21.60% 19.00% 17.70%