2
$\begingroup$

In the proportion: $\frac{x}{100} = \frac{a}{total}$ which is the percent: $x$ or $\frac{x}{100}$?

For example, when asked to find $50\%$ of $2$, I would answer $a=\frac{50}{100}\cdot2=1$.

Here $\frac{50}{100}$ is the percent because $50\% =\frac{50}{100}=\frac{1}{2}$.

When asked what percent $3$ is of $4$, I would answer $x=\frac{3}{4}\cdot100=75\%$

Now $x$ alone is a percent, not $\frac{x}{100}$ What am I doing wrong?

Answer: Percent is the numerator of a fraction whose denominator is $100$.

$\endgroup$
  • $\begingroup$ $x$ is the percent. Write it as $x$% $\endgroup$ – Claude Leibovici May 30 '14 at 9:53
  • 2
    $\begingroup$ In other words, $\frac{x}{100} = x\%$. This is the definition of percentage (per hundred). $\endgroup$ – Eff May 30 '14 at 10:04
  • $\begingroup$ $x$ is the percent; $x/100$ is the fraction. When you need to operate, use the fraction. Keep the percent for words. Cheers. $\endgroup$ – Claude Leibovici May 30 '14 at 10:05
2
$\begingroup$

When you are asked for the percentage, it is $x\%$. When you are asked for the fraction, it is $\frac{x}{100}$.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.