12.96 is what percent of 18.45 - 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 18.45 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 18.45, so we can write it down as 100%=18.45.
4. We know, that x% equals 12.96 of the output value, so we can write it down as x%=12.96.
5. Now we have two simple equations:
1) 100%=18.45
2) x%=12.96
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%=18.45/12.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.96 is what percent of 18.45

100%/x%=18.45/12.96
(100/x)*x=(18.45/12.96)*x       - we multiply both sides of the equation by x
100=1.4236111111111*x       - we divide both sides of the equation by (1.4236111111111) to get x
100/1.4236111111111=x
70.243902439024=x
x=70.243902439024

now we have:
12.96 is 70.243902439024% of 18.45