What fraction of the total power radiated by the sun falls in the ultra violet spectral region?

A professor in Quantitative Remote Sensing once gave us an assignment that deals with the fraction of the total power radiated by the sun. I am posting the question plus the answer below. There are related entries on Quantitative Remote Sensing below the post.

Question: What fraction of the total power radiated by the sun falls in the ultra violet spectral region? Assume that the sun is a blackbody. (Hint: You may need a table of the integral values of the Planck function.)