What is 48.275862068966 percent of 79.75 - 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 79.75 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 79.75 is 100%, so we can write it down as 79.75=100%.
4. We know, that x is 48.275862068966% of the output value, so we can write it down as x=48.275862068966%.
5. Now we have two simple equations:
1) 79.75=100%
2) x=48.275862068966%
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:
79.75/x=100%/48.275862068966%
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 48.275862068966% of 79.75

79.75/x=100/48.275862068966
(79.75/x)*x=(100/48.275862068966)*x       - we multiply both sides of the equation by x
79.75=2.0714285714286*x       - we divide both sides of the equation by (2.0714285714286) to get x
79.75/2.0714285714286=x
38.5=x
x=38.5

now we have:
48.275862068966% of 79.75=38.5