What is 37.13 percent of 27.2 - 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 27.2 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 27.2 is 100%, so we can write it down as 27.2=100%.
4. We know, that x is 37.13% of the output value, so we can write it down as x=37.13%.
5. Now we have two simple equations:
1) 27.2=100%
2) x=37.13%
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:
27.2/x=100%/37.13%
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 37.13% of 27.2

27.2/x=100/37.13
(27.2/x)*x=(100/37.13)*x       - we multiply both sides of the equation by x
27.2=2.6932399676811*x       - we divide both sides of the equation by (2.6932399676811) to get x
27.2/2.6932399676811=x
10.09936=x
x=10.09936

now we have:
37.13% of 27.2=10.09936