What is 2.56 percent of 1237.5 - 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 1237.5 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 1237.5 is 100%, so we can write it down as 1237.5=100%.
4. We know, that x is 2.56% of the output value, so we can write it down as x=2.56%.
5. Now we have two simple equations:
1) 1237.5=100%
2) x=2.56%
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:
1237.5/x=100%/2.56%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 2.56% of 1237.5

1237.5/x=100/2.56
(1237.5/x)*x=(100/2.56)*x       - we multiply both sides of the equation by x
1237.5=39.0625*x       - we divide both sides of the equation by (39.0625) to get x
1237.5/39.0625=x
31.68=x
x=31.68

now we have:
2.56% of 1237.5=31.68