808.64 is what percent of 5776 - 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 5776 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 5776, so we can write it down as 100%=5776.
4. We know, that x% equals 808.64 of the output value, so we can write it down as x%=808.64.
5. Now we have two simple equations:
1) 100%=5776
2) x%=808.64
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%=5776/808.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 808.64 is what percent of 5776

100%/x%=5776/808.64
(100/x)*x=(5776/808.64)*x       - we multiply both sides of the equation by x
100=7.1428571428571*x       - we divide both sides of the equation by (7.1428571428571) to get x
100/7.1428571428571=x
14=x
x=14

now we have:
808.64 is 14% of 5776