Instructions
Take your lux measurement.
Convert lux to foot-candles, since most camera lighting charts use the Imperial standard. For precise conversion, multiply the lux value by 10.76, or estimate and just add a zero to the end. So, roughly, one lux would be 10 foot-candles. Then, convert to foot-Lamberts by multiplying by pi, or estimate by multiplying by 3. So one lux would give 30 foot-Lamberts of luminance.
Set your camera's flash according to the luminance that you want. Figure your total luminance which, for a bright, sunny day is typically 800 foot-Lamberts. Subtract the number of foot-Lamberts you figured from the lux meter, and set your flash to provide the difference.