255.85 is what percent of 645.85 - 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 645.85 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 645.85, so we can write it down as 100%=645.85.
4. We know, that x% equals 255.85 of the output value, so we can write it down as x%=255.85.
5. Now we have two simple equations:
1) 100%=645.85
2) x%=255.85
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%=645.85/255.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 255.85 is what percent of 645.85

100%/x%=645.85/255.85
(100/x)*x=(645.85/255.85)*x       - we multiply both sides of the equation by x
100=2.5243306624976*x       - we divide both sides of the equation by (2.5243306624976) to get x
100/2.5243306624976=x
39.614461562282=x
x=39.614461562282

now we have:
255.85 is 39.614461562282% of 645.85