What is 38.4375 percent of 798 - 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 798 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 798 is 100%, so we can write it down as 798=100%.
4. We know, that x is 38.4375% of the output value, so we can write it down as x=38.4375%.
5. Now we have two simple equations:
1) 798=100%
2) x=38.4375%
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:
798/x=100%/38.4375%
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 38.4375% of 798

798/x=100/38.4375
(798/x)*x=(100/38.4375)*x       - we multiply both sides of the equation by x
798=2.6016260162602*x       - we divide both sides of the equation by (2.6016260162602) to get x
798/2.6016260162602=x
306.73125=x
x=306.73125

now we have:
38.4375% of 798=306.73125