13.18 is what percent of 12.25 - 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 12.25 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 12.25, so we can write it down as 100%=12.25.
4. We know, that x% equals 13.18 of the output value, so we can write it down as x%=13.18.
5. Now we have two simple equations:
1) 100%=12.25
2) x%=13.18
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%=12.25/13.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.18 is what percent of 12.25

100%/x%=12.25/13.18
(100/x)*x=(12.25/13.18)*x       - we multiply both sides of the equation by x
100=0.92943854324734*x       - we divide both sides of the equation by (0.92943854324734) to get x
100/0.92943854324734=x
107.59183673469=x
x=107.59183673469

now we have:
13.18 is 107.59183673469% of 12.25