What is 30.2 percent of 27.5 - 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 27.5 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 27.5 is 100%, so we can write it down as 27.5=100%.
4. We know, that x is 30.2% of the output value, so we can write it down as x=30.2%.
5. Now we have two simple equations:
1) 27.5=100%
2) x=30.2%
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:
27.5/x=100%/30.2%
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 30.2% of 27.5

27.5/x=100/30.2
(27.5/x)*x=(100/30.2)*x       - we multiply both sides of the equation by x
27.5=3.3112582781457*x       - we divide both sides of the equation by (3.3112582781457) to get x
27.5/3.3112582781457=x
8.305=x
x=8.305

now we have:
30.2% of 27.5=8.305