What is 20.57 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 48.2 is 100%, so we can write it down as 48.2=100%.
4. We know, that x is 20.57% of the output value, so we can write it down as x=20.57%.
5. Now we have two simple equations:
1) 48.2=100%
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:
48.2/x=100%/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 what is 20.57% of 48.2

48.2/x=100/20.57
(48.2/x)*x=(100/20.57)*x       - we multiply both sides of the equation by x
48.2=4.8614487117161*x       - we divide both sides of the equation by (4.8614487117161) to get x
48.2/4.8614487117161=x
9.91474=x
x=9.91474

now we have:
20.57% of 48.2=9.91474