What is 2.56 percent of 1568 - 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 1568 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 1568 is 100%, so we can write it down as 1568=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) 1568=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:
1568/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 1568

1568/x=100/2.56
(1568/x)*x=(100/2.56)*x       - we multiply both sides of the equation by x
1568=39.0625*x       - we divide both sides of the equation by (39.0625) to get x
1568/39.0625=x
40.1408=x
x=40.1408

now we have:
2.56% of 1568=40.1408