25.55 is what percent of 64.55 - 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 64.55 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 64.55, so we can write it down as 100%=64.55.
4. We know, that x% equals 25.55 of the output value, so we can write it down as x%=25.55.
5. Now we have two simple equations:
1) 100%=64.55
2) x%=25.55
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%=64.55/25.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.55 is what percent of 64.55

100%/x%=64.55/25.55
(100/x)*x=(64.55/25.55)*x       - we multiply both sides of the equation by x
100=2.5264187866928*x       - we divide both sides of the equation by (2.5264187866928) to get x
100/2.5264187866928=x
39.581719597211=x
x=39.581719597211

now we have:
25.55 is 39.581719597211% of 64.55