779.61 is what percent of 11885.35 - 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 11885.35 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 11885.35, so we can write it down as 100%=11885.35.
4. We know, that x% equals 779.61 of the output value, so we can write it down as x%=779.61.
5. Now we have two simple equations:
1) 100%=11885.35
2) x%=779.61
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%=11885.35/779.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 779.61 is what percent of 11885.35

100%/x%=11885.35/779.61
(100/x)*x=(11885.35/779.61)*x       - we multiply both sides of the equation by x
100=15.245250830543*x       - we divide both sides of the equation by (15.245250830543) to get x
100/15.245250830543=x
6.5594197899094=x
x=6.5594197899094

now we have:
779.61 is 6.5594197899094% of 11885.35