8.08 is what percent of 1252 - 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 1252 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 1252, so we can write it down as 100%=1252.
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%=1252
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%=1252/8.08
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 1252

100%/x%=1252/8.08
(100/x)*x=(1252/8.08)*x       - we multiply both sides of the equation by x
100=154.9504950495*x       - we divide both sides of the equation by (154.9504950495) to get x
100/154.9504950495=x
0.64536741214058=x
x=0.64536741214058

now we have:
8.08 is 0.64536741214058% of 1252