What is 40.350877192982 percent of 28.5 - 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 28.5 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 28.5 is 100%, so we can write it down as 28.5=100%.
4. We know, that x is 40.350877192982% of the output value, so we can write it down as x=40.350877192982%.
5. Now we have two simple equations:
1) 28.5=100%
2) x=40.350877192982%
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:
28.5/x=100%/40.350877192982%
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 40.350877192982% of 28.5

28.5/x=100/40.350877192982
(28.5/x)*x=(100/40.350877192982)*x       - we multiply both sides of the equation by x
28.5=2.4782608695652*x       - we divide both sides of the equation by (2.4782608695652) to get x
28.5/2.4782608695652=x
11.5=x
x=11.5

now we have:
40.350877192982% of 28.5=11.5