0.25 is what percent of 97.5 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 97.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 97.5, so we can write it down as 100%=97.5.
4. We know, that x% equals 0.25 of the output value, so we can write it down as x%=0.25.
5. Now we have two simple equations:
1) 100%=97.5
2) x%=0.25
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=97.5/0.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.25 is what percent of 97.5

100%/x%=97.5/0.25
(100/x)*x=(97.5/0.25)*x       - we multiply both sides of the equation by x
100=390*x       - we divide both sides of the equation by (390) to get x
100/390=x
0.25641025641026=x
x=0.25641025641026

now we have:
0.25 is 0.25641025641026% of 97.5