Question

What is 2.4 as a percentage?

Answer 1

Hint: For solving this question you should know about the percentage and the formula of percentage. The percentage is just another way to write any fraction in any other way. The difference between both style or both methods is only that the bottom number or the denominator is fixed at 100. So, we can write it as $\dfrac{x}{100}$ and this is equivalent of percentage of $x$.

Complete step-by-step solution:
According to our question we have to find the percentage of 2.4. It means we will find the percentage form of 2.4. We can also solve this by first principle method. In this method we have to convert our digit or value in the fraction form and then we multiply it by 1 or 1 in a form of $\dfrac{10}{10}$ because all we need to change is our denominator in the 100. And we have to make our value in the form of $\dfrac{x}{100}$. So, it is a very important step. Thus, we can calculate the percentage form by first principle method.
So, our fraction form of 2.4 is $\dfrac{24}{10}$. Now we convert our $\dfrac{24}{10}$ into percentage fractional format. We use the principle of ratios in it. We need to change our denominator from 10 to 100 because for calculating the percentage form, it is necessary to be in $\dfrac{x}{100}$ format and here $x$ is the percentage.
So, we multiply our fraction $\dfrac{24}{10}$ by 1 in the form of $\dfrac{10}{10}$. So, now we have,
$\begin{align}
  & \dfrac{24}{10}\times \dfrac{10}{10} \\
 & \Rightarrow \dfrac{24\times 10}{10\times 10}=\dfrac{240}{100} \\
\end{align}$
Which is in the form of $\dfrac{x}{100};\dfrac{x}{100}=\dfrac{240}{100}$.
So, the percentage form of 2.4 is 240%.

Note: The percentage is a very basic calculation and it is used at every or most of the calculations, so we should know how to calculate this. The percentage denotes how much any value is available or contains in the 100 of the value for which the percentage is going to be calculated. In mathematics the percentage is a number or a ratio that represents a fraction of 100. We can do this by various methods but mostly used methods is as follows:
2.4 as a fraction form = $\dfrac{24}{10}=2+\dfrac{4}{10}$
Convert to a percentage by a simple method which we use to calculi our percent also is:
$\Rightarrow \dfrac{24}{10}\times 100%=24\times 10%=240%$
So, 2.4 is 240% in percentage form.