What is 25.5 percent of 0.3863 - 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 0.3863 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 0.3863 is 100%, so we can write it down as 0.3863=100%.
4. We know, that x is 25.5% of the output value, so we can write it down as x=25.5%.
5. Now we have two simple equations:
1) 0.3863=100%
2) x=25.5%
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:
0.3863/x=100%/25.5%
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 25.5% of 0.3863

0.3863/x=100/25.5
(0.3863/x)*x=(100/25.5)*x       - we multiply both sides of the equation by x
0.3863=3.921568627451*x       - we divide both sides of the equation by (3.921568627451) to get x
0.3863/3.921568627451=x
0.0985065=x
x=0.0985065

now we have:
25.5% of 0.3863=0.0985065