25.85 is what percent of 124.25 - 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 124.25 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 124.25, so we can write it down as 100%=124.25.
4. We know, that x% equals 25.85 of the output value, so we can write it down as x%=25.85.
5. Now we have two simple equations:
1) 100%=124.25
2) x%=25.85
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%=124.25/25.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.85 is what percent of 124.25

100%/x%=124.25/25.85
(100/x)*x=(124.25/25.85)*x       - we multiply both sides of the equation by x
100=4.8065764023211*x       - we divide both sides of the equation by (4.8065764023211) to get x
100/4.8065764023211=x
20.804828973843=x
x=20.804828973843

now we have:
25.85 is 20.804828973843% of 124.25