779.4 is what percent of 5000 - 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 5000 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 5000, so we can write it down as 100%=5000.
4. We know, that x% equals 779.4 of the output value, so we can write it down as x%=779.4.
5. Now we have two simple equations:
1) 100%=5000
2) x%=779.4
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%=5000/779.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 779.4 is what percent of 5000

100%/x%=5000/779.4
(100/x)*x=(5000/779.4)*x       - we multiply both sides of the equation by x
100=6.4151911726969*x       - we divide both sides of the equation by (6.4151911726969) to get x
100/6.4151911726969=x
15.588=x
x=15.588

now we have:
779.4 is 15.588% of 5000