What is 27.52 percent of 27.52 - 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 27.52 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 27.52 is 100%, so we can write it down as 27.52=100%.
4. We know, that x is 27.52% of the output value, so we can write it down as x=27.52%.
5. Now we have two simple equations:
1) 27.52=100%
2) x=27.52%
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:
27.52/x=100%/27.52%
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 27.52% of 27.52

27.52/x=100/27.52
(27.52/x)*x=(100/27.52)*x       - we multiply both sides of the equation by x
27.52=3.6337209302326*x       - we divide both sides of the equation by (3.6337209302326) to get x
27.52/3.6337209302326=x
7.573504=x
x=7.573504

now we have:
27.52% of 27.52=7.573504