519.6 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 519.6 of the output value, so we can write it down as x%=519.6.
5. Now we have two simple equations:
1) 100%=5000
2) x%=519.6
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%=5000/519.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 519.6 is what percent of 5000

100%/x%=5000/519.6
(100/x)*x=(5000/519.6)*x       - we multiply both sides of the equation by x
100=9.6227867590454*x       - we divide both sides of the equation by (9.6227867590454) to get x
100/9.6227867590454=x
10.392=x
x=10.392

now we have:
519.6 is 10.392% of 5000