256.12 is what percent of 317.99 - 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 317.99 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 317.99, so we can write it down as 100%=317.99.
4. We know, that x% equals 256.12 of the output value, so we can write it down as x%=256.12.
5. Now we have two simple equations:
1) 100%=317.99
2) x%=256.12
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%=317.99/256.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 256.12 is what percent of 317.99

100%/x%=317.99/256.12
(100/x)*x=(317.99/256.12)*x       - we multiply both sides of the equation by x
100=1.2415664532251*x       - we divide both sides of the equation by (1.2415664532251) to get x
100/1.2415664532251=x
80.543413314884=x
x=80.543413314884

now we have:
256.12 is 80.543413314884% of 317.99