56.94 is what percent of 764 - 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 764 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 764, so we can write it down as 100%=764.
4. We know, that x% equals 56.94 of the output value, so we can write it down as x%=56.94.
5. Now we have two simple equations:
1) 100%=764
2) x%=56.94
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%=764/56.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.94 is what percent of 764

100%/x%=764/56.94
(100/x)*x=(764/56.94)*x       - we multiply both sides of the equation by x
100=13.417632595715*x       - we divide both sides of the equation by (13.417632595715) to get x
100/13.417632595715=x
7.4528795811518=x
x=7.4528795811518

now we have:
56.94 is 7.4528795811518% of 764