6.52 is what percent of 18.6 - 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 18.6 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 18.6, so we can write it down as 100%=18.6.
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%=18.6
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%=18.6/6.52
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 18.6

100%/x%=18.6/6.52
(100/x)*x=(18.6/6.52)*x       - we multiply both sides of the equation by x
100=2.8527607361963*x       - we divide both sides of the equation by (2.8527607361963) to get x
100/2.8527607361963=x
35.05376344086=x
x=35.05376344086

now we have:
6.52 is 35.05376344086% of 18.6