\(\displaystyle\frac{{10}}{{{10}+{61}}}=\frac{{10}}{{71}}\sim{0.1408}={14.08}\%\)

We note that 10 players were elite players with arthritis, 9 players were non-elite players with arthritis and 24 players with arthritis did not play.

The percent of people with arthritis that were elite players is then the total number of elite players with arthritis divided by the number of people with arthritis:

\(\displaystyle\frac{{10}}{{{10}+{9}+{24}}}=\frac{{10}}{{43}}\sim{0.2326}={23.26}\%\)