778.84 is what percent of 13513.22 - 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 13513.22 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 13513.22, so we can write it down as 100%=13513.22.
4. We know, that x% equals 778.84 of the output value, so we can write it down as x%=778.84.
5. Now we have two simple equations:
1) 100%=13513.22
2) x%=778.84
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%=13513.22/778.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 778.84 is what percent of 13513.22

100%/x%=13513.22/778.84
(100/x)*x=(13513.22/778.84)*x       - we multiply both sides of the equation by x
100=17.350444250424*x       - we divide both sides of the equation by (17.350444250424) to get x
100/17.350444250424=x
5.7635411841145=x
x=5.7635411841145

now we have:
778.84 is 5.7635411841145% of 13513.22