Q12. - Algebra 1

Question

Find each percent.

What percent of 400 is 260?

Step-by-Step Solution

Answer

The $65\%$ of $400$ is $260$.

Step 1. Given information.

We have two numbers $400$ and $260$.

To find the percent of $400$ is $260$.

Step 2. Apply the concept.

If we have two numbers $a$ and $b$ and $p$ is the percent of $a$ is $b$ then,

$\frac{b}{a}=\frac{p}{100}$

Step 3. Calculation.

Here, $a=400\text{ and }b=260$

Now,

$\begin{array}{l}\frac{260}{400}=\frac{p}{100}\\ \Rightarrow 400p=260\times 100\\ \Rightarrow 400p=26000\\ \Rightarrow p=\frac{260}{4}\\ \Rightarrow p=65\end{array}$

Hence, $65\%$ of $400$ is width="28" style="max-width: none; vertical-align: -4px;" $260$.