What is 36.8 percent of 78.4 - 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 78.4 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 78.4 is 100%, so we can write it down as 78.4=100%.
4. We know, that x is 36.8% of the output value, so we can write it down as x=36.8%.
5. Now we have two simple equations:
1) 78.4=100%
2) x=36.8%
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:
78.4/x=100%/36.8%
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 36.8% of 78.4

78.4/x=100/36.8
(78.4/x)*x=(100/36.8)*x       - we multiply both sides of the equation by x
78.4=2.7173913043478*x       - we divide both sides of the equation by (2.7173913043478) to get x
78.4/2.7173913043478=x
28.8512=x
x=28.8512

now we have:
36.8% of 78.4=28.8512