Question

What percent of 33.5 is 21?

Answer 1

Hint: This type of question is based on the concept of percentages. We know that a percentage is represented as % and it is a term that represents a part of 100. First we assume 21 to be x% of 33.5 Then, we find what 1% of 33.5 is and compute x% of 33.5 using the unitary method. Equating it to 21, we will get the answer.

Complete step by step answer:
Let us explore the method for solving this question. We can solve all types of percentage questions using the unitary method for simple understanding of the concept. First, we need to understand what we have to find and then represent it in terms of 1, i.e., what percentage of the number given is 1. Once we have that, we assign a value x to the percentage value of the number we want to represent in terms of percentage, we equate the values on both sides to find the value of x.
Given, the number is 33.5 and we have to find what percentage of 33.5 is 21.
Let 21 be x % of 33.5
So, using unitary method
1% of 33.5 = \[\dfrac{1}{100}\times 33.5\]
Since we have considered 21 is x% of 33.5, using unitary method we have
x% of 33.5 = 21
So,
\[\begin{align}
  & \Rightarrow \,\,\dfrac{x}{100}\times 33.5=21 \\
 & \Rightarrow \,\,x=\dfrac{21\times 100}{33.5} \\
 & \Rightarrow \,\,x=62.686\% \\
\end{align}\]

\[\therefore \] 21 is 62.686% of 33.5.

Note: There are other ways to find percentage values like directly dividing the number which we want to represent as percentage with the number which is the base value of the percentage that we want to find out and then multiplying the result so obtained with 100. For eg.,
We had to find what percentage is 21 of 33.5. In this case, we could directly divide 21 by 33.5 and then multiply the result so obtained by 100. If we divide 21 by 33.5, we get 0.62686 as the value and then we multiply it by 100, we get 62.686% which is the answer.