What is 56.82 percent of 18.42 - 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 18.42 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 18.42 is 100%, so we can write it down as 18.42=100%.
4. We know, that x is 56.82% of the output value, so we can write it down as x=56.82%.
5. Now we have two simple equations:
1) 18.42=100%
2) x=56.82%
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:
18.42/x=100%/56.82%
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 56.82% of 18.42

18.42/x=100/56.82
(18.42/x)*x=(100/56.82)*x       - we multiply both sides of the equation by x
18.42=1.7599436818022*x       - we divide both sides of the equation by (1.7599436818022) to get x
18.42/1.7599436818022=x
10.466244=x
x=10.466244

now we have:
56.82% of 18.42=10.466244