12.56 is what percent of 1250 - 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 1250 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 1250, so we can write it down as 100%=1250.
4. We know, that x% equals 12.56 of the output value, so we can write it down as x%=12.56.
5. Now we have two simple equations:
1) 100%=1250
2) x%=12.56
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%=1250/12.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.56 is what percent of 1250

100%/x%=1250/12.56
(100/x)*x=(1250/12.56)*x       - we multiply both sides of the equation by x
100=99.522292993631*x       - we divide both sides of the equation by (99.522292993631) to get x
100/99.522292993631=x
1.0048=x
x=1.0048

now we have:
12.56 is 1.0048% of 1250