Question

What percent of 200 is 40?

Answer 1

Hint: Here in this question, we have to simplify the given term. The term is involving the symbol % implies the percentage. So, we write the percentage term into fraction form and then using the simple arithmetic operation we determine the solution for the question.

Complete step-by-step answer:
Now consider the question
What percent of 200 is 40.
Assume, if $$x\mathrm{\%}$$ of 200 is equal to 40, then we have to find the percentage value $$x$$
The question is involving the symbol % which means percentage. The percentage number can be written in the form of fraction. The fraction contains both numerator and denominator parts. The word “of” represents the multiplication operation. While writing the percentage number into a fraction number, remember that "per" means "divided by", and "cent" means 100, so "percent" means "divided by 100" or "out of 100". The value of numerator will be same but the value of denominator will be 100 so now the question is written as
$$\Rightarrow {\displaystyle \frac{x}{100}}\times 200=40$$
Cancel the zeros in the LHS of the above equation we get
$$\Rightarrow {\displaystyle \frac{x}{1}}\times 2=40$$
First, we simplify the term.
$$\Rightarrow 2x=40$$
Divide the equation by the number 2 we get
$$\Rightarrow x={\displaystyle \frac{40}{2}}$$
On simplification, we get
$$\Rightarrow x=20$$
Hence, $$20\mathrm{\%}$$ value of 200 is 40.
So, the correct answer is “20%”.

Note: The number can be simplified from one form to the other form. For the simplification of numbers, we have some rule or method. By using the specific methods and rules we can convert the number. The fraction number has a numerator and denominator. The percentage is represented by the symbol %.