13.12 is what percent of 30.42 - 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 30.42 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 30.42, so we can write it down as 100%=30.42.
4. We know, that x% equals 13.12 of the output value, so we can write it down as x%=13.12.
5. Now we have two simple equations:
1) 100%=30.42
2) x%=13.12
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%=30.42/13.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.12 is what percent of 30.42

100%/x%=30.42/13.12
(100/x)*x=(30.42/13.12)*x       - we multiply both sides of the equation by x
100=2.3185975609756*x       - we divide both sides of the equation by (2.3185975609756) to get x
100/2.3185975609756=x
43.129520052597=x
x=43.129520052597

now we have:
13.12 is 43.129520052597% of 30.42