56.68 is what percent of 702 - 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 702 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 702, so we can write it down as 100%=702.
4. We know, that x% equals 56.68 of the output value, so we can write it down as x%=56.68.
5. Now we have two simple equations:
1) 100%=702
2) x%=56.68
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%=702/56.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.68 is what percent of 702

100%/x%=702/56.68
(100/x)*x=(702/56.68)*x       - we multiply both sides of the equation by x
100=12.385321100917*x       - we divide both sides of the equation by (12.385321100917) to get x
100/12.385321100917=x
8.0740740740741=x
x=8.0740740740741

now we have:
56.68 is 8.0740740740741% of 702