12.55 is what percent of 37.95 - 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 37.95 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 37.95, so we can write it down as 100%=37.95.
4. We know, that x% equals 12.55 of the output value, so we can write it down as x%=12.55.
5. Now we have two simple equations:
1) 100%=37.95
2) x%=12.55
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%=37.95/12.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.55 is what percent of 37.95

100%/x%=37.95/12.55
(100/x)*x=(37.95/12.55)*x       - we multiply both sides of the equation by x
100=3.0239043824701*x       - we divide both sides of the equation by (3.0239043824701) to get x
100/3.0239043824701=x
33.069828722003=x
x=33.069828722003

now we have:
12.55 is 33.069828722003% of 37.95