7691.52 is what percent of 77002.08 - 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 77002.08 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 77002.08, so we can write it down as 100%=77002.08.
4. We know, that x% equals 7691.52 of the output value, so we can write it down as x%=7691.52.
5. Now we have two simple equations:
1) 100%=77002.08
2) x%=7691.52
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%=77002.08/7691.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7691.52 is what percent of 77002.08

100%/x%=77002.08/7691.52
(100/x)*x=(77002.08/7691.52)*x       - we multiply both sides of the equation by x
100=10.011295556665*x       - we divide both sides of the equation by (10.011295556665) to get x
100/10.011295556665=x
9.9887171878993=x
x=9.9887171878993

now we have:
7691.52 is 9.9887171878993% of 77002.08