20 is what percent of 52.852 - 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 52.852 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 52.852, so we can write it down as 100%=52.852.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=52.852
2) x%=20
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%=52.852/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 52.852

100%/x%=52.852/20
(100/x)*x=(52.852/20)*x       - we multiply both sides of the equation by x
100=2.6426*x       - we divide both sides of the equation by (2.6426) to get x
100/2.6426=x
37.841519715432=x
x=37.841519715432

now we have:
20 is 37.841519715432% of 52.852