What is 25.8 percent of 25.8 - 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 25.8 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 25.8 is 100%, so we can write it down as 25.8=100%.
4. We know, that x is 25.8% of the output value, so we can write it down as x=25.8%.
5. Now we have two simple equations:
1) 25.8=100%
2) x=25.8%
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:
25.8/x=100%/25.8%
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 25.8% of 25.8

25.8/x=100/25.8
(25.8/x)*x=(100/25.8)*x       - we multiply both sides of the equation by x
25.8=3.8759689922481*x       - we divide both sides of the equation by (3.8759689922481) to get x
25.8/3.8759689922481=x
6.6564=x
x=6.6564

now we have:
25.8% of 25.8=6.6564