788.46 is what percent of 5163.28 - 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 5163.28 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 5163.28, so we can write it down as 100%=5163.28.
4. We know, that x% equals 788.46 of the output value, so we can write it down as x%=788.46.
5. Now we have two simple equations:
1) 100%=5163.28
2) x%=788.46
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%=5163.28/788.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 788.46 is what percent of 5163.28

100%/x%=5163.28/788.46
(100/x)*x=(5163.28/788.46)*x       - we multiply both sides of the equation by x
100=6.5485630215864*x       - we divide both sides of the equation by (6.5485630215864) to get x
100/6.5485630215864=x
15.270525712338=x
x=15.270525712338

now we have:
788.46 is 15.270525712338% of 5163.28