Question

What number is $110\%$ of $150$?

Answer 1

Hint: In the above question, we have been given a number, equal to $150$ , whose percentage, equal to $110\%$, has to be calculated. For this, we have to write the given percentage in the form of a decimal number. For this, we need to replace the percentage sign by the fraction $\dfrac{1}{100}$ and multiply it by $110$ and get the decimal number form of the given percentage. Then for calculating the required percentage of $110$, we have to multiply the decimal number by the given number $150$ and thus finally get the required number.

Complete step by step answer:
The number given to us in the above question is equal to $150$. According to the question, we need to calculate the number which is equal to the $110\%$ of this number. In order to obtain this number, firstly we have to convert the decimal number equivalent to the given percentage, which is equal to $110\%$. We know that the percentage sign is equivalent to the fraction $\dfrac{1}{100}$ so that we can multiply $110$ by this fraction to obtain the decimal number form of $110\%$ as
$\begin{align}
  & \Rightarrow 110\times \dfrac{1}{100} \\
 & \Rightarrow \dfrac{110}{100} \\
 & \Rightarrow 1.1 \\
\end{align}$
Now, for obtaining the number equal to the $110\%$ of the given number $150$, we have to multiply the decimal number equivalent to the given percentage. Therefore, we multiply the given number $150$ by the decimal number $1.1$ to obtain the required number as
$\begin{align}
  & \Rightarrow 150\times 1.1 \\
 & \Rightarrow 165 \\
\end{align}$

Hence, the number equal to the $110\%$ of the given number $150$ is finally calculated to be equal to $165$.

Note: The number obtained after multiplying the decimal number with the given number is a number and not the percentage value. So do add the symbol of percentage with it. Also, do not get confused since we got the final number $165$ greater than the given number $150$. This is due to the fact that the percentage value, which was given in the question $110\%$, was greater than $100\%$.