What is 7.6 percent of 37.98 - 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 37.98 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 37.98 is 100%, so we can write it down as 37.98=100%.
4. We know, that x is 7.6% of the output value, so we can write it down as x=7.6%.
5. Now we have two simple equations:
1) 37.98=100%
2) x=7.6%
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:
37.98/x=100%/7.6%
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 7.6% of 37.98

37.98/x=100/7.6
(37.98/x)*x=(100/7.6)*x       - we multiply both sides of the equation by x
37.98=13.157894736842*x       - we divide both sides of the equation by (13.157894736842) to get x
37.98/13.157894736842=x
2.88648=x
x=2.88648

now we have:
7.6% of 37.98=2.88648