What is 25.8 percent of 39.9 - 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 39.9 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 39.9 is 100%, so we can write it down as 39.9=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) 39.9=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:
39.9/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 39.9

39.9/x=100/25.8
(39.9/x)*x=(100/25.8)*x       - we multiply both sides of the equation by x
39.9=3.8759689922481*x       - we divide both sides of the equation by (3.8759689922481) to get x
39.9/3.8759689922481=x
10.2942=x
x=10.2942

now we have:
25.8% of 39.9=10.2942