What is 11.468 percent of 48.8 - 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 48.8 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 48.8 is 100%, so we can write it down as 48.8=100%.
4. We know, that x is 11.468% of the output value, so we can write it down as x=11.468%.
5. Now we have two simple equations:
1) 48.8=100%
2) x=11.468%
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:
48.8/x=100%/11.468%
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 11.468% of 48.8

48.8/x=100/11.468
(48.8/x)*x=(100/11.468)*x       - we multiply both sides of the equation by x
48.8=8.7199162888036*x       - we divide both sides of the equation by (8.7199162888036) to get x
48.8/8.7199162888036=x
5.596384=x
x=5.596384

now we have:
11.468% of 48.8=5.596384