What percent of 50 is 20?

What p

Apr 22, 2017

40%

Explanation:

Percent is basically a fraction but one where the bottom number (denominator) is fixed at 100.

Let the unknown value be $x$

Then we have:

$\frac{20}{50} \equiv \frac{x}{100}$

Where $\equiv$ means equivalent to

To get $x$ on its own multiply both sides by $\textcolor{red}{100}$

color(green)(20/50color(red)(xx100)" "=" "x/100color(red)(xx100)

$\textcolor{g r e e n}{20 \times \frac{\textcolor{red}{100}}{50} \text{ "=" } x \times \frac{\textcolor{red}{100}}{100}}$

But $\frac{100}{50} = 2 \mathmr{and} \frac{100}{100} = 1$ giving

$20 \times 2 = x \times 1$

$40 \text{ "=" } x$

So the recent in fraction format is $\frac{40}{100}$

In normal written format it is 40%
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$\textcolor{b l u e}{\text{Additional comment}}$

The symbol % is like a unit of measurement but one that is worth $\frac{1}{100}$

So 40%->40xx%->40xx1/100=40/100