314.45 is what percent of 1255.1 - 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 1255.1 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 1255.1, so we can write it down as 100%=1255.1.
4. We know, that x% equals 314.45 of the output value, so we can write it down as x%=314.45.
5. Now we have two simple equations:
1) 100%=1255.1
2) x%=314.45
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%=1255.1/314.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 314.45 is what percent of 1255.1

100%/x%=1255.1/314.45
(100/x)*x=(1255.1/314.45)*x       - we multiply both sides of the equation by x
100=3.9914135792654*x       - we divide both sides of the equation by (3.9914135792654) to get x
100/3.9914135792654=x
25.053780575253=x
x=25.053780575253

now we have:
314.45 is 25.053780575253% of 1255.1