What is 2.82 percent of 56.38 - 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 56.38 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 56.38 is 100%, so we can write it down as 56.38=100%.
4. We know, that x is 2.82% of the output value, so we can write it down as x=2.82%.
5. Now we have two simple equations:
1) 56.38=100%
2) x=2.82%
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:
56.38/x=100%/2.82%
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 2.82% of 56.38

56.38/x=100/2.82
(56.38/x)*x=(100/2.82)*x       - we multiply both sides of the equation by x
56.38=35.460992907801*x       - we divide both sides of the equation by (35.460992907801) to get x
56.38/35.460992907801=x
1.589916=x
x=1.589916

now we have:
2.82% of 56.38=1.589916