8.08 is what percent of 286.02 - 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 286.02 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 286.02, so we can write it down as 100%=286.02.
4. We know, that x% equals 8.08 of the output value, so we can write it down as x%=8.08.
5. Now we have two simple equations:
1) 100%=286.02
2) x%=8.08
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%=286.02/8.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.08 is what percent of 286.02

100%/x%=286.02/8.08
(100/x)*x=(286.02/8.08)*x       - we multiply both sides of the equation by x
100=35.398514851485*x       - we divide both sides of the equation by (35.398514851485) to get x
100/35.398514851485=x
2.8249772743165=x
x=2.8249772743165

now we have:
8.08 is 2.8249772743165% of 286.02