What is 3.64 percent of 5.2 - 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 5.2 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 5.2 is 100%, so we can write it down as 5.2=100%.
4. We know, that x is 3.64% of the output value, so we can write it down as x=3.64%.
5. Now we have two simple equations:
1) 5.2=100%
2) x=3.64%
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:
5.2/x=100%/3.64%
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 3.64% of 5.2

5.2/x=100/3.64
(5.2/x)*x=(100/3.64)*x       - we multiply both sides of the equation by x
5.2=27.472527472527*x       - we divide both sides of the equation by (27.472527472527) to get x
5.2/27.472527472527=x
0.18928=x
x=0.18928

now we have:
3.64% of 5.2=0.18928