## Flexi Says:

A**percent** is a ratio that describes a quantity out of 100. A percent is also a part of a whole. Finding the percent of a number is the part of a number that is equivalent to the percent.

### Steps to find the percentage of a number - Method 1

Let's, find 25% of 50 using proportion.

First, write the percent as a fraction. 25% is also 25 out of 100.

@$$\begin{align*}25\%=\frac{25}{100}\end{align*}@$$

Next, write a proportion to find the equivalent fraction of 25% of 50. The second fraction is the unknown quantity, represented by@$\begin{align*}x\end{align*}@$, over the whole, 50.

@$$\begin{align*}\frac{25}{100}=\frac{x}{50}\end{align*}@$$

Now, cross-multiply to find the cross-product. To cross-multiply, multiply thenumerator of one fraction with the denominator of the other fraction. The products should be equal.

@$$\begin{align*}25(50)=100x\end{align*}@$$

Finally, simplify the equation to solve for @$\begin{align*}x\end{align*}@$. Multiply 25 by 50 and divide both sides by 100.

@$$\begin{align*}25(50)&=100x\\[6pt]\frac{1250}{100}&=\frac{100x}{100}\\[6pt]12.5&=x\end{align*}@$$

Hence, 25% of 50 is 12.5.

### Steps to find the percentage of a number - Method 2

Another method is to use keywords and multiplication. Let's look again at the problem.

What is 25% of 50?

First, look for keywords that suggest an operation. The word "of" tells you to multiply 50 by 25%.

Next, convert 25% to a decimal.

@$$\begin{align*}25\%=0.25\end{align*}@$$

Then, write an equation to find the unknown number, @$\begin{align*}x\end{align*}@$.

@$$\begin{align*}x=50\times 0.25\end{align*}@$$

Finally, solve for @$\begin{align*}x\end{align*}@$ by multiplying 50 by 0.25.

@$$\begin{align*}x=50\times 0.25=12.5\end{align*}@$$ The answer is the same. 25% of 50 is 12.5.

### Steps to find the percentage of a number - Method 3

The relationship@$\begin{align*}\text{percent} = \frac{\text{part}}{\text{whole}}\end{align*}@$ can be used to solve for a percent using the part and the whole. By multiplying the whole by the other side you get the following equation:@$$\begin{align*}\text{percent} \cdot \text{whole}= \text{part}\end{align*}@$$

**Step 1**: Divide the percentage by 100.

**Step 2: **Multiply the result by the number you want to find the percentage of.

For example, find 25% of 50.

Part = ?

Whole = 50.

Percent = @$\begin{align*}25\% \rightarrow \frac{25}{100}.\end{align*}@$

@$$\begin{align*}\text{Percent} \cdot \text{Whole}& = \text{Part} \\\frac{25}{100} \cdot 50 & = \text{Part} \\12.5 & = \text{Part}\end{align*}@$$

∴ 25% of 50 is 12.5.

To learn more about percentages, **click here**!