63.85 is what percent of 786.83 - 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 786.83 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 786.83, so we can write it down as 100%=786.83.
4. We know, that x% equals 63.85 of the output value, so we can write it down as x%=63.85.
5. Now we have two simple equations:
1) 100%=786.83
2) x%=63.85
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%=786.83/63.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.85 is what percent of 786.83

100%/x%=786.83/63.85
(100/x)*x=(786.83/63.85)*x       - we multiply both sides of the equation by x
100=12.323101018011*x       - we divide both sides of the equation by (12.323101018011) to get x
100/12.323101018011=x
8.1148405627645=x
x=8.1148405627645

now we have:
63.85 is 8.1148405627645% of 786.83