Question

What percent of 12 is 15?

Answer 1

Hint: For solving this type of questions you should know about the calculation of percentage of something. And also know how to calculate any value whose percentage is given to us. And it is calculated by a formula which is used to convert the percentage from any value. The general formula is given as, percentage (%) = $\dfrac{\text{value}}{\text{total value}}\times 100$.

Complete step by step answer:
The percentage is the amount of something in terms of 100. And we can say that the percent means per hundred. It means what the value or amount is at every $\text{hundre}{{\text{d}}^{th}}$. But in these types of questions it is asked to calculate the percent of any number with respect to any number which can be more than 100%.
So, according to our question we have to calculate the percent of 15 with respect to 12. It means that 15 is a greater number than 12 and it will be more than 100% form 12. So, for calculating the percentage we can write ‘is’ as =, and percent as $\dfrac{1}{100}$ and ‘of’ as multiplication. So, now, 15 is what percent of 12 is,
$\begin{align}
  & 15=x\times \dfrac{1}{100}\times 12 \\
 & \Rightarrow x=\dfrac{15\times 100}{12} \\
 & \Rightarrow x=5\times 25 \\
 & \Rightarrow x=125 \\
\end{align}$
So, 15 is 125% of 12.
And we can check our answer by using our translation method. This becomes as,
$\begin{align}
  & y=125\times \dfrac{1}{100}\times 12 \\
 & \Rightarrow y=\dfrac{1500}{100} \\
 & \Rightarrow y=15 \\
\end{align}$

So, our answer is correct and 15 is 125% of 12.

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 calculate. In mathematics the percentage is a number or a ratio that represents a fraction of 100.