What is 53.37 percent of 115.28 - 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 115.28 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 115.28 is 100%, so we can write it down as 115.28=100%.
4. We know, that x is 53.37% of the output value, so we can write it down as x=53.37%.
5. Now we have two simple equations:
1) 115.28=100%
2) x=53.37%
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:
115.28/x=100%/53.37%
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 53.37% of 115.28

115.28/x=100/53.37
(115.28/x)*x=(100/53.37)*x       - we multiply both sides of the equation by x
115.28=1.8737118231216*x       - we divide both sides of the equation by (1.8737118231216) to get x
115.28/1.8737118231216=x
61.524936=x
x=61.524936

now we have:
53.37% of 115.28=61.524936