18.57 is what percent of 48 - 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 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, so we can write it down as 100%=48.
4. We know, that x% equals 18.57 of the output value, so we can write it down as x%=18.57.
5. Now we have two simple equations:
1) 100%=48
2) x%=18.57
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%=48/18.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.57 is what percent of 48

100%/x%=48/18.57
(100/x)*x=(48/18.57)*x       - we multiply both sides of the equation by x
100=2.5848142164782*x       - we divide both sides of the equation by (2.5848142164782) to get x
100/2.5848142164782=x
38.6875=x
x=38.6875

now we have:
18.57 is 38.6875% of 48