What is 57.16 percent of 1509.64 - 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 1509.64 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 1509.64 is 100%, so we can write it down as 1509.64=100%.
4. We know, that x is 57.16% of the output value, so we can write it down as x=57.16%.
5. Now we have two simple equations:
1) 1509.64=100%
2) x=57.16%
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:
1509.64/x=100%/57.16%
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 57.16% of 1509.64

1509.64/x=100/57.16
(1509.64/x)*x=(100/57.16)*x       - we multiply both sides of the equation by x
1509.64=1.7494751574528*x       - we divide both sides of the equation by (1.7494751574528) to get x
1509.64/1.7494751574528=x
862.910224=x
x=862.910224

now we have:
57.16% of 1509.64=862.910224