16.52 is what percent of 216 - 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 216 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 216, so we can write it down as 100%=216.
4. We know, that x% equals 16.52 of the output value, so we can write it down as x%=16.52.
5. Now we have two simple equations:
1) 100%=216
2) x%=16.52
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%=216/16.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.52 is what percent of 216

100%/x%=216/16.52
(100/x)*x=(216/16.52)*x       - we multiply both sides of the equation by x
100=13.075060532688*x       - we divide both sides of the equation by (13.075060532688) to get x
100/13.075060532688=x
7.6481481481481=x
x=7.6481481481481

now we have:
16.52 is 7.6481481481481% of 216