6.52 is what percent of 18.05 - 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 18.05 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 100% equals 18.05, so we can write it down as 100%=18.05.
4. We know, that x% equals 6.52 of the output value, so we can write it down as x%=6.52.
5. Now we have two simple equations:
1) 100%=18.05
2) x%=6.52
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:
100%/x%=18.05/6.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.52 is what percent of 18.05

100%/x%=18.05/6.52
(100/x)*x=(18.05/6.52)*x       - we multiply both sides of the equation by x
100=2.7684049079755*x       - we divide both sides of the equation by (2.7684049079755) to get x
100/2.7684049079755=x
36.12188365651=x
x=36.12188365651

now we have:
6.52 is 36.12188365651% of 18.05