# What percent of 29 is 3?

## Please also explain how to do this.

Mar 12, 2017

$P e r c e n t = \frac{3}{29} \cdot 100$

Percent~=10.345%

#### Explanation:

Let's start with what percent is. Percent is a ratio, in other words think of a fraction.

$P e r c e n t = \frac{x}{y} \cdot 100$

Where $x$ and $y$ are the numbers being compared.

Note how percents aren't commonly over 100%, in other words,

$\frac{x}{y} < 1$

so that 3, doesn't become more than 100% of 29.

Because $\frac{x}{y} < 1$ , we know that 3 is over 29, not the other way around.

so...

$P e r c e n t = \frac{3}{29} \cdot 100$

Percent~=10.345%

We can check this by multiplying 29 by 10.345% and find:

$29 \cdot .10345 = 3$