What is 37.88 percent of 12.65 - 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 12.65 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 12.65 is 100%, so we can write it down as 12.65=100%.
4. We know, that x is 37.88% of the output value, so we can write it down as x=37.88%.
5. Now we have two simple equations:
1) 12.65=100%
2) x=37.88%
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:
12.65/x=100%/37.88%
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 37.88% of 12.65

12.65/x=100/37.88
(12.65/x)*x=(100/37.88)*x       - we multiply both sides of the equation by x
12.65=2.6399155227033*x       - we divide both sides of the equation by (2.6399155227033) to get x
12.65/2.6399155227033=x
4.79182=x
x=4.79182

now we have:
37.88% of 12.65=4.79182