2.16 is what percent of 6.5 - 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 6.5 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 6.5, so we can write it down as 100%=6.5.
4. We know, that x% equals 2.16 of the output value, so we can write it down as x%=2.16.
5. Now we have two simple equations:
1) 100%=6.5
2) x%=2.16
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%=6.5/2.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.16 is what percent of 6.5

100%/x%=6.5/2.16
(100/x)*x=(6.5/2.16)*x       - we multiply both sides of the equation by x
100=3.0092592592593*x       - we divide both sides of the equation by (3.0092592592593) to get x
100/3.0092592592593=x
33.230769230769=x
x=33.230769230769

now we have:
2.16 is 33.230769230769% of 6.5