12.98 is what percent of 33.5 - 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 33.5 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 33.5, so we can write it down as 100%=33.5.
4. We know, that x% equals 12.98 of the output value, so we can write it down as x%=12.98.
5. Now we have two simple equations:
1) 100%=33.5
2) x%=12.98
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%=33.5/12.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.98 is what percent of 33.5

100%/x%=33.5/12.98
(100/x)*x=(33.5/12.98)*x       - we multiply both sides of the equation by x
100=2.5808936825886*x       - we divide both sides of the equation by (2.5808936825886) to get x
100/2.5808936825886=x
38.746268656716=x
x=38.746268656716

now we have:
12.98 is 38.746268656716% of 33.5