What is 78.26 percent of 4.8 - 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 4.8 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 4.8 is 100%, so we can write it down as 4.8=100%.
4. We know, that x is 78.26% of the output value, so we can write it down as x=78.26%.
5. Now we have two simple equations:
1) 4.8=100%
2) x=78.26%
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:
4.8/x=100%/78.26%
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 78.26% of 4.8

4.8/x=100/78.26
(4.8/x)*x=(100/78.26)*x       - we multiply both sides of the equation by x
4.8=1.27779197547*x       - we divide both sides of the equation by (1.27779197547) to get x
4.8/1.27779197547=x
3.75648=x
x=3.75648

now we have:
78.26% of 4.8=3.75648