What is 28.7179 percent of 48.75 - 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 48.75 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 48.75 is 100%, so we can write it down as 48.75=100%.
4. We know, that x is 28.7179% of the output value, so we can write it down as x=28.7179%.
5. Now we have two simple equations:
1) 48.75=100%
2) x=28.7179%
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:
48.75/x=100%/28.7179%
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 28.7179% of 48.75

48.75/x=100/28.7179
(48.75/x)*x=(100/28.7179)*x       - we multiply both sides of the equation by x
48.75=3.4821487643595*x       - we divide both sides of the equation by (3.4821487643595) to get x
48.75/3.4821487643595=x
13.99997625=x
x=13.99997625

now we have:
28.7179% of 48.75=13.99997625