What is 26.55 percent of 37.27 - 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 37.27 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 37.27 is 100%, so we can write it down as 37.27=100%.
4. We know, that x is 26.55% of the output value, so we can write it down as x=26.55%.
5. Now we have two simple equations:
1) 37.27=100%
2) x=26.55%
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:
37.27/x=100%/26.55%
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 26.55% of 37.27

37.27/x=100/26.55
(37.27/x)*x=(100/26.55)*x       - we multiply both sides of the equation by x
37.27=3.7664783427495*x       - we divide both sides of the equation by (3.7664783427495) to get x
37.27/3.7664783427495=x
9.895185=x
x=9.895185

now we have:
26.55% of 37.27=9.895185