2.22 is what percent of 32.5 - 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 32.5 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 32.5, so we can write it down as 100%=32.5.
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%=32.5
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%=32.5/2.22
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 32.5

100%/x%=32.5/2.22
(100/x)*x=(32.5/2.22)*x       - we multiply both sides of the equation by x
100=14.63963963964*x       - we divide both sides of the equation by (14.63963963964) to get x
100/14.63963963964=x
6.8307692307692=x
x=6.8307692307692

now we have:
2.22 is 6.8307692307692% of 32.5