Question

What number is $23\%$ of 150?

Answer 1

Hint: To solve this question we will use the concept of percentage that is $x\%\text{ }of\text{ }y=\dfrac{x}{100}\times y$. Substituting the values and simplifying the obtained equation we will get the desired answer.

Complete step-by-step solution:
We have to find $23\%$ of 150.
Now, we know that the basic rule of percentage is $x\%\text{ }of\text{ }y=\dfrac{x}{100}\times y$.
To solve the percentage the word ‘of’ represents the multiplication so always replace the word ‘of’ by multiplication and the word ’is’ represents the sign equal “$=$”. So we can write the given expression as
\[\Rightarrow 23\%\times 150\]
Now, we know that one percent is the part of hundred percent. To write a percentage into decimal form we will divide it by 100. Then simplifying the above obtained equation we will get
\[\Rightarrow \dfrac{23}{100}\times 150\]
Now, simplifying the above obtained equation we will get
\[\begin{align}
  & \Rightarrow \dfrac{23}{2}\times 3 \\
 & \Rightarrow 34.5 \\
\end{align}\]
Hence we get $23\%$ of 150 is \[34.5\].

Note: To solve the percentage we can also convert the percentage value into decimal form by dividing it by 100. We can also solve the question by assuming that x is the number which is equal to $23\%$ of 150. Then we can solve the obtained equation and find the value of x. The point to be remembered is that in this particular question there is no need to convert the obtained answer into percentage because we have asked to find the number not percentage.