255.2 is what percent of 302 - 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 302 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 302, so we can write it down as 100%=302.
4. We know, that x% equals 255.2 of the output value, so we can write it down as x%=255.2.
5. Now we have two simple equations:
1) 100%=302
2) x%=255.2
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%=302/255.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 255.2 is what percent of 302

100%/x%=302/255.2
(100/x)*x=(302/255.2)*x       - we multiply both sides of the equation by x
100=1.1833855799373*x       - we divide both sides of the equation by (1.1833855799373) to get x
100/1.1833855799373=x
84.503311258278=x
x=84.503311258278

now we have:
255.2 is 84.503311258278% of 302