What is 53.9 percent of 19.65 - 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 19.65 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 19.65 is 100%, so we can write it down as 19.65=100%.
4. We know, that x is 53.9% of the output value, so we can write it down as x=53.9%.
5. Now we have two simple equations:
1) 19.65=100%
2) x=53.9%
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:
19.65/x=100%/53.9%
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 53.9% of 19.65

19.65/x=100/53.9
(19.65/x)*x=(100/53.9)*x       - we multiply both sides of the equation by x
19.65=1.8552875695733*x       - we divide both sides of the equation by (1.8552875695733) to get x
19.65/1.8552875695733=x
10.59135=x
x=10.59135

now we have:
53.9% of 19.65=10.59135