What is 45.2 percent of 256.5 - 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 256.5 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 256.5 is 100%, so we can write it down as 256.5=100%.
4. We know, that x is 45.2% of the output value, so we can write it down as x=45.2%.
5. Now we have two simple equations:
1) 256.5=100%
2) x=45.2%
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:
256.5/x=100%/45.2%
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 45.2% of 256.5

256.5/x=100/45.2
(256.5/x)*x=(100/45.2)*x       - we multiply both sides of the equation by x
256.5=2.212389380531*x       - we divide both sides of the equation by (2.212389380531) to get x
256.5/2.212389380531=x
115.938=x
x=115.938

now we have:
45.2% of 256.5=115.938