What is 2.56 percent of 409.02 - 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 409.02 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 409.02 is 100%, so we can write it down as 409.02=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) 409.02=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:
409.02/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 409.02

409.02/x=100/2.56
(409.02/x)*x=(100/2.56)*x       - we multiply both sides of the equation by x
409.02=39.0625*x       - we divide both sides of the equation by (39.0625) to get x
409.02/39.0625=x
10.470912=x
x=10.470912

now we have:
2.56% of 409.02=10.470912