1256.56 is what percent of 5026.25 - 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 5026.25 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 5026.25, so we can write it down as 100%=5026.25.
4. We know, that x% equals 1256.56 of the output value, so we can write it down as x%=1256.56.
5. Now we have two simple equations:
1) 100%=5026.25
2) x%=1256.56
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%=5026.25/1256.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1256.56 is what percent of 5026.25

100%/x%=5026.25/1256.56
(100/x)*x=(5026.25/1256.56)*x       - we multiply both sides of the equation by x
100=4.0000079582352*x       - we divide both sides of the equation by (4.0000079582352) to get x
100/4.0000079582352=x
24.999950261129=x
x=24.999950261129

now we have:
1256.56 is 24.999950261129% of 5026.25