209.8 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 209.8 of the output value, so we can write it down as x%=209.8.
5. Now we have two simple equations:
1) 100%=5000
2) x%=209.8
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%=5000/209.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 209.8 is what percent of 5000

100%/x%=5000/209.8
(100/x)*x=(5000/209.8)*x       - we multiply both sides of the equation by x
100=23.832221163012*x       - we divide both sides of the equation by (23.832221163012) to get x
100/23.832221163012=x
4.196=x
x=4.196

now we have:
209.8 is 4.196% of 5000