What is 25.49 percent of 19.89 - 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 19.89 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 19.89 is 100%, so we can write it down as 19.89=100%.
4. We know, that x is 25.49% of the output value, so we can write it down as x=25.49%.
5. Now we have two simple equations:
1) 19.89=100%
2) x=25.49%
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:
19.89/x=100%/25.49%
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 25.49% of 19.89

19.89/x=100/25.49
(19.89/x)*x=(100/25.49)*x       - we multiply both sides of the equation by x
19.89=3.9231071008239*x       - we divide both sides of the equation by (3.9231071008239) to get x
19.89/3.9231071008239=x
5.069961=x
x=5.069961

now we have:
25.49% of 19.89=5.069961