What is 37.25 percent of 53.85 - 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 53.85 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 53.85 is 100%, so we can write it down as 53.85=100%.
4. We know, that x is 37.25% of the output value, so we can write it down as x=37.25%.
5. Now we have two simple equations:
1) 53.85=100%
2) x=37.25%
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:
53.85/x=100%/37.25%
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 37.25% of 53.85

53.85/x=100/37.25
(53.85/x)*x=(100/37.25)*x       - we multiply both sides of the equation by x
53.85=2.6845637583893*x       - we divide both sides of the equation by (2.6845637583893) to get x
53.85/2.6845637583893=x
20.059125=x
x=20.059125

now we have:
37.25% of 53.85=20.059125