254.85 is what percent of 12487.65 - 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 12487.65 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 12487.65, so we can write it down as 100%=12487.65.
4. We know, that x% equals 254.85 of the output value, so we can write it down as x%=254.85.
5. Now we have two simple equations:
1) 100%=12487.65
2) x%=254.85
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%=12487.65/254.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 254.85 is what percent of 12487.65

100%/x%=12487.65/254.85
(100/x)*x=(12487.65/254.85)*x       - we multiply both sides of the equation by x
100=49*x       - we divide both sides of the equation by (49) to get x
100/49=x
2.04081632653=x
x=2.04081632653

now we have:
254.85 is 2.04081632653% of 12487.65