7790 is what percent of 79314 - 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 79314 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 79314, so we can write it down as 100%=79314.
4. We know, that x% equals 7790 of the output value, so we can write it down as x%=7790.
5. Now we have two simple equations:
1) 100%=79314
2) x%=7790
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%=79314/7790
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7790 is what percent of 79314

100%/x%=79314/7790
(100/x)*x=(79314/7790)*x       - we multiply both sides of the equation by x
100=10.181514762516*x       - we divide both sides of the equation by (10.181514762516) to get x
100/10.181514762516=x
9.8217212598028=x
x=9.8217212598028

now we have:
7790 is 9.8217212598028% of 79314