12.12 is what percent of 45.22 - 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 45.22 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 45.22, so we can write it down as 100%=45.22.
4. We know, that x% equals 12.12 of the output value, so we can write it down as x%=12.12.
5. Now we have two simple equations:
1) 100%=45.22
2) x%=12.12
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%=45.22/12.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.12 is what percent of 45.22

100%/x%=45.22/12.12
(100/x)*x=(45.22/12.12)*x       - we multiply both sides of the equation by x
100=3.7310231023102*x       - we divide both sides of the equation by (3.7310231023102) to get x
100/3.7310231023102=x
26.802299867315=x
x=26.802299867315

now we have:
12.12 is 26.802299867315% of 45.22