What is 25.6 percent of 25.6 - 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 25.6 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 25.6 is 100%, so we can write it down as 25.6=100%.
4. We know, that x is 25.6% of the output value, so we can write it down as x=25.6%.
5. Now we have two simple equations:
1) 25.6=100%
2) x=25.6%
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:
25.6/x=100%/25.6%
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 25.6% of 25.6

25.6/x=100/25.6
(25.6/x)*x=(100/25.6)*x       - we multiply both sides of the equation by x
25.6=3.90625*x       - we divide both sides of the equation by (3.90625) to get x
25.6/3.90625=x
6.5536=x
x=6.5536

now we have:
25.6% of 25.6=6.5536