28.88 is what percent of 250.13 - 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 250.13 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 250.13, so we can write it down as 100%=250.13.
4. We know, that x% equals 28.88 of the output value, so we can write it down as x%=28.88.
5. Now we have two simple equations:
1) 100%=250.13
2) x%=28.88
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%=250.13/28.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.88 is what percent of 250.13

100%/x%=250.13/28.88
(100/x)*x=(250.13/28.88)*x       - we multiply both sides of the equation by x
100=8.6610110803324*x       - we divide both sides of the equation by (8.6610110803324) to get x
100/8.6610110803324=x
11.545996082037=x
x=11.545996082037

now we have:
28.88 is 11.545996082037% of 250.13