What is 7.72 percent of 27.35 - 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 27.35 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 27.35 is 100%, so we can write it down as 27.35=100%.
4. We know, that x is 7.72% of the output value, so we can write it down as x=7.72%.
5. Now we have two simple equations:
1) 27.35=100%
2) x=7.72%
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:
27.35/x=100%/7.72%
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 7.72% of 27.35

27.35/x=100/7.72
(27.35/x)*x=(100/7.72)*x       - we multiply both sides of the equation by x
27.35=12.953367875648*x       - we divide both sides of the equation by (12.953367875648) to get x
27.35/12.953367875648=x
2.11142=x
x=2.11142

now we have:
7.72% of 27.35=2.11142