5765.62 is what percent of 5125 - 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 5125 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 5125, so we can write it down as 100%=5125.
4. We know, that x% equals 5765.62 of the output value, so we can write it down as x%=5765.62.
5. Now we have two simple equations:
1) 100%=5125
2) x%=5765.62
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%=5125/5765.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5765.62 is what percent of 5125

100%/x%=5125/5765.62
(100/x)*x=(5125/5765.62)*x       - we multiply both sides of the equation by x
100=0.88888965974171*x       - we divide both sides of the equation by (0.88888965974171) to get x
100/0.88888965974171=x
112.49990243902=x
x=112.49990243902

now we have:
5765.62 is 112.49990243902% of 5125