63.79 is what percent of 786.5 - 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 786.5 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 786.5, so we can write it down as 100%=786.5.
4. We know, that x% equals 63.79 of the output value, so we can write it down as x%=63.79.
5. Now we have two simple equations:
1) 100%=786.5
2) x%=63.79
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%=786.5/63.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.79 is what percent of 786.5

100%/x%=786.5/63.79
(100/x)*x=(786.5/63.79)*x       - we multiply both sides of the equation by x
100=12.329518733344*x       - we divide both sides of the equation by (12.329518733344) to get x
100/12.329518733344=x
8.1106166560712=x
x=8.1106166560712

now we have:
63.79 is 8.1106166560712% of 786.5