Question

What is 150% of 92?

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 solution:
According to our question we have to calculate the value of a number which is 150% of 92. It means the number will be greater than 92 and it will be 150% of 92. So, for calculating the number we can write 150% as $\dfrac{150}{100}$. When dealing with percentage the word ‘of’ means ‘multiply’ or ‘times’. Finally, we calculate the number $n$, the $n$ is 150% of 92. We can write it as:
$\begin{align}
  & n=\dfrac{150}{100}\times 92 \\
 & \Rightarrow n=\dfrac{13800}{100}=138 \\
\end{align}$
Thus, we can calculate the percentage of any number and the number and the total value of that by a single formula. 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 $\text{hundre}{{\text{d}}^{th}}$.
Thus, 150% of 92 is 138. And it is calculated by this formula, $n= \%\times \text{total number}$.

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.