What is 4.94 percent of 787.9 - 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 787.9 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 787.9 is 100%, so we can write it down as 787.9=100%.
4. We know, that x is 4.94% of the output value, so we can write it down as x=4.94%.
5. Now we have two simple equations:
1) 787.9=100%
2) x=4.94%
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:
787.9/x=100%/4.94%
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 4.94% of 787.9

787.9/x=100/4.94
(787.9/x)*x=(100/4.94)*x       - we multiply both sides of the equation by x
787.9=20.242914979757*x       - we divide both sides of the equation by (20.242914979757) to get x
787.9/20.242914979757=x
38.92226=x
x=38.92226

now we have:
4.94% of 787.9=38.92226