12.82 is what percent of 37.555 - 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 37.555 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 37.555, so we can write it down as 100%=37.555.
4. We know, that x% equals 12.82 of the output value, so we can write it down as x%=12.82.
5. Now we have two simple equations:
1) 100%=37.555
2) x%=12.82
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%=37.555/12.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.82 is what percent of 37.555

100%/x%=37.555/12.82
(100/x)*x=(37.555/12.82)*x       - we multiply both sides of the equation by x
100=2.9294071762871*x       - we divide both sides of the equation by (2.9294071762871) to get x
100/2.9294071762871=x
34.136599653841=x
x=34.136599653841

now we have:
12.82 is 34.136599653841% of 37.555