What is 57.35 percent of 10.8 - 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 10.8 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 10.8 is 100%, so we can write it down as 10.8=100%.
4. We know, that x is 57.35% of the output value, so we can write it down as x=57.35%.
5. Now we have two simple equations:
1) 10.8=100%
2) x=57.35%
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:
10.8/x=100%/57.35%
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 57.35% of 10.8

10.8/x=100/57.35
(10.8/x)*x=(100/57.35)*x       - we multiply both sides of the equation by x
10.8=1.743679163034*x       - we divide both sides of the equation by (1.743679163034) to get x
10.8/1.743679163034=x
6.1938=x
x=6.1938

now we have:
57.35% of 10.8=6.1938