20.02 is what percent of 52.44 - 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 52.44 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 52.44, so we can write it down as 100%=52.44.
4. We know, that x% equals 20.02 of the output value, so we can write it down as x%=20.02.
5. Now we have two simple equations:
1) 100%=52.44
2) x%=20.02
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%=52.44/20.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.02 is what percent of 52.44

100%/x%=52.44/20.02
(100/x)*x=(52.44/20.02)*x       - we multiply both sides of the equation by x
100=2.6193806193806*x       - we divide both sides of the equation by (2.6193806193806) to get x
100/2.6193806193806=x
38.176964149504=x
x=38.176964149504

now we have:
20.02 is 38.176964149504% of 52.44