750.96 is what percent of 5537.55 - 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 5537.55 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 100% equals 5537.55, so we can write it down as 100%=5537.55.
4. We know, that x% equals 750.96 of the output value, so we can write it down as x%=750.96.
5. Now we have two simple equations:
1) 100%=5537.55
2) x%=750.96
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:
100%/x%=5537.55/750.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 750.96 is what percent of 5537.55

100%/x%=5537.55/750.96
(100/x)*x=(5537.55/750.96)*x       - we multiply both sides of the equation by x
100=7.3739613294982*x       - we divide both sides of the equation by (7.3739613294982) to get x
100/7.3739613294982=x
13.561231952759=x
x=13.561231952759

now we have:
750.96 is 13.561231952759% of 5537.55