12.93 is what percent of 34 - 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 34 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 34, so we can write it down as 100%=34.
4. We know, that x% equals 12.93 of the output value, so we can write it down as x%=12.93.
5. Now we have two simple equations:
1) 100%=34
2) x%=12.93
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%=34/12.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.93 is what percent of 34

100%/x%=34/12.93
(100/x)*x=(34/12.93)*x       - we multiply both sides of the equation by x
100=2.6295436968291*x       - we divide both sides of the equation by (2.6295436968291) to get x
100/2.6295436968291=x
38.029411764706=x
x=38.029411764706

now we have:
12.93 is 38.029411764706% of 34