255.37 is what percent of 307.68 - 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 307.68 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 307.68, so we can write it down as 100%=307.68.
4. We know, that x% equals 255.37 of the output value, so we can write it down as x%=255.37.
5. Now we have two simple equations:
1) 100%=307.68
2) x%=255.37
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%=307.68/255.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 255.37 is what percent of 307.68

100%/x%=307.68/255.37
(100/x)*x=(307.68/255.37)*x       - we multiply both sides of the equation by x
100=1.2048400360262*x       - we divide both sides of the equation by (1.2048400360262) to get x
100/1.2048400360262=x
82.998569942798=x
x=82.998569942798

now we have:
255.37 is 82.998569942798% of 307.68