What is 78.07 percent of 38 - 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 38 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 38 is 100%, so we can write it down as 38=100%.
4. We know, that x is 78.07% of the output value, so we can write it down as x=78.07%.
5. Now we have two simple equations:
1) 38=100%
2) x=78.07%
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:
38/x=100%/78.07%
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 78.07% of 38

38/x=100/78.07
(38/x)*x=(100/78.07)*x       - we multiply both sides of the equation by x
38=1.2809017548354*x       - we divide both sides of the equation by (1.2809017548354) to get x
38/1.2809017548354=x
29.6666=x
x=29.6666

now we have:
78.07% of 38=29.6666