What is 54.08 percent of 55.702 - 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 55.702 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 55.702 is 100%, so we can write it down as 55.702=100%.
4. We know, that x is 54.08% of the output value, so we can write it down as x=54.08%.
5. Now we have two simple equations:
1) 55.702=100%
2) x=54.08%
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:
55.702/x=100%/54.08%
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 54.08% of 55.702

55.702/x=100/54.08
(55.702/x)*x=(100/54.08)*x       - we multiply both sides of the equation by x
55.702=1.8491124260355*x       - we divide both sides of the equation by (1.8491124260355) to get x
55.702/1.8491124260355=x
30.1236416=x
x=30.1236416

now we have:
54.08% of 55.702=30.1236416