20.57 is what percent of 48.2 - 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 48.2 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 48.2, so we can write it down as 100%=48.2.
4. We know, that x% equals 20.57 of the output value, so we can write it down as x%=20.57.
5. Now we have two simple equations:
1) 100%=48.2
2) x%=20.57
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%=48.2/20.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.57 is what percent of 48.2

100%/x%=48.2/20.57
(100/x)*x=(48.2/20.57)*x       - we multiply both sides of the equation by x
100=2.3432182790472*x       - we divide both sides of the equation by (2.3432182790472) to get x
100/2.3432182790472=x
42.676348547718=x
x=42.676348547718

now we have:
20.57 is 42.676348547718% of 48.2