38.85 is what percent of 815.7 - 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 815.7 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 815.7, so we can write it down as 100%=815.7.
4. We know, that x% equals 38.85 of the output value, so we can write it down as x%=38.85.
5. Now we have two simple equations:
1) 100%=815.7
2) x%=38.85
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%=815.7/38.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.85 is what percent of 815.7

100%/x%=815.7/38.85
(100/x)*x=(815.7/38.85)*x       - we multiply both sides of the equation by x
100=20.996138996139*x       - we divide both sides of the equation by (20.996138996139) to get x
100/20.996138996139=x
4.7627804339831=x
x=4.7627804339831

now we have:
38.85 is 4.7627804339831% of 815.7