You are pleased to see that you have been given a $5\mathrm{.}00\%$ raise this year.$$ However, you read on the Wall Street Journal Web site that inflation over the past year has been $2\mathrm{.}00\%.$ How much better off are you in terms of real purchasing$$ power?

$($Note: Be careful not to round any intermediate steps less than six decimal$$ places.$)$