What is 10.8 percent of 54.8 - 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 54.8 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 54.8 is 100%, so we can write it down as 54.8=100%.
4. We know, that x is 10.8% of the output value, so we can write it down as x=10.8%.
5. Now we have two simple equations:
1) 54.8=100%
2) x=10.8%
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:
54.8/x=100%/10.8%
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 10.8% of 54.8

54.8/x=100/10.8
(54.8/x)*x=(100/10.8)*x       - we multiply both sides of the equation by x
54.8=9.2592592592593*x       - we divide both sides of the equation by (9.2592592592593) to get x
54.8/9.2592592592593=x
5.9184=x
x=5.9184

now we have:
10.8% of 54.8=5.9184