What is 26.25 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 26.25% of the output value, so we can write it down as x=26.25%.
5. Now we have two simple equations:
1) 48.75=100%
2) x=26.25%
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:
48.75/x=100%/26.25%
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 26.25% of 48.75

48.75/x=100/26.25
(48.75/x)*x=(100/26.25)*x       - we multiply both sides of the equation by x
48.75=3.8095238095238*x       - we divide both sides of the equation by (3.8095238095238) to get x
48.75/3.8095238095238=x
12.796875=x
x=12.796875

now we have:
26.25% of 48.75=12.796875