2.22 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 2.22 of the output value, so we can write it down as x%=2.22.
5. Now we have two simple equations:
1) 100%=6.5
2) x%=2.22
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%=6.5/2.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.22 is what percent of 6.5

100%/x%=6.5/2.22
(100/x)*x=(6.5/2.22)*x       - we multiply both sides of the equation by x
100=2.9279279279279*x       - we divide both sides of the equation by (2.9279279279279) to get x
100/2.9279279279279=x
34.153846153846=x
x=34.153846153846

now we have:
2.22 is 34.153846153846% of 6.5