Question

What percent change of 80 to 100?

Answer 1

Hint: Here in this question, we have to simplify the given term. In the question they have mentioned the word change so first we find the difference between those two numbers and then we are going to find the percentage value for the difference value and hence we can determine the value for the given question.

Complete step by step solution:
Now consider the question
What percent change of 80 to 100.
So now we subtract the number 80 from the number 100 and we get
\[100 - 80 = 20\]
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
Now we have to find the percentage value for the difference number
Here difference number is 20
To find the percentage first we divide the difference number by the original value and then we convert it into the percentage. Here the original value is 80 and the final value is 100. Now we have
\[ \Rightarrow \dfrac{{20}}{{80}}\]
On simplifying this we have
\[ \Rightarrow \dfrac{1}{4}\]
On further simplification we have
\[ \Rightarrow \,0.25\]
Now we have to convert this into the percentage form. So we multiply the obtained number by \[100\% \] and hence we obtain the solution
On multiplying we have
\[ \Rightarrow \,0.25 \times 100\% \]
On simplifying we have
\[ \Rightarrow \,25\% \]
Therefore the percent change of 80 to 100 is 25%
So, the correct answer is “25%”.

Note: The number can be simplified from one form to the other form. For the simplification of numbers, we have some rules or methods. 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 %.