What is 2.56 percent of 478.45 - 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 478.45 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 478.45 is 100%, so we can write it down as 478.45=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) 478.45=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:
478.45/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 478.45

478.45/x=100/2.56
(478.45/x)*x=(100/2.56)*x       - we multiply both sides of the equation by x
478.45=39.0625*x       - we divide both sides of the equation by (39.0625) to get x
478.45/39.0625=x
12.24832=x
x=12.24832

now we have:
2.56% of 478.45=12.24832