What is 8.52 percent of 56.6 - 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 56.6 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 56.6 is 100%, so we can write it down as 56.6=100%.
4. We know, that x is 8.52% of the output value, so we can write it down as x=8.52%.
5. Now we have two simple equations:
1) 56.6=100%
2) x=8.52%
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:
56.6/x=100%/8.52%
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 8.52% of 56.6

56.6/x=100/8.52
(56.6/x)*x=(100/8.52)*x       - we multiply both sides of the equation by x
56.6=11.737089201878*x       - we divide both sides of the equation by (11.737089201878) to get x
56.6/11.737089201878=x
4.82232=x
x=4.82232

now we have:
8.52% of 56.6=4.82232