What is 4.9 percent of 78.82 - 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 78.82 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 78.82 is 100%, so we can write it down as 78.82=100%.
4. We know, that x is 4.9% of the output value, so we can write it down as x=4.9%.
5. Now we have two simple equations:
1) 78.82=100%
2) x=4.9%
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:
78.82/x=100%/4.9%
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 4.9% of 78.82

78.82/x=100/4.9
(78.82/x)*x=(100/4.9)*x       - we multiply both sides of the equation by x
78.82=20.408163265306*x       - we divide both sides of the equation by (20.408163265306) to get x
78.82/20.408163265306=x
3.86218=x
x=3.86218

now we have:
4.9% of 78.82=3.86218