8 is what percent of 208.9 - 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 208.9 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 208.9, so we can write it down as 100%=208.9.
4. We know, that x% equals 8 of the output value, so we can write it down as x%=8.
5. Now we have two simple equations:
1) 100%=208.9
2) x%=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%=208.9/8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 208.9

100%/x%=208.9/8
(100/x)*x=(208.9/8)*x       - we multiply both sides of the equation by x
100=26.1125*x       - we divide both sides of the equation by (26.1125) to get x
100/26.1125=x
3.8295835327908=x
x=3.8295835327908

now we have:
8 is 3.8295835327908% of 208.9