202.88 is what percent of 1512.5 - 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 1512.5 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 1512.5, so we can write it down as 100%=1512.5.
4. We know, that x% equals 202.88 of the output value, so we can write it down as x%=202.88.
5. Now we have two simple equations:
1) 100%=1512.5
2) x%=202.88
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%=1512.5/202.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 202.88 is what percent of 1512.5

100%/x%=1512.5/202.88
(100/x)*x=(1512.5/202.88)*x       - we multiply both sides of the equation by x
100=7.4551458990536*x       - we divide both sides of the equation by (7.4551458990536) to get x
100/7.4551458990536=x
13.413553719008=x
x=13.413553719008

now we have:
202.88 is 13.413553719008% of 1512.5