12.4 is what percent of 26.7 - 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 26.7 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 26.7, so we can write it down as 100%=26.7.
4. We know, that x% equals 12.4 of the output value, so we can write it down as x%=12.4.
5. Now we have two simple equations:
1) 100%=26.7
2) x%=12.4
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%=26.7/12.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.4 is what percent of 26.7

100%/x%=26.7/12.4
(100/x)*x=(26.7/12.4)*x       - we multiply both sides of the equation by x
100=2.1532258064516*x       - we divide both sides of the equation by (2.1532258064516) to get x
100/2.1532258064516=x
46.441947565543=x
x=46.441947565543

now we have:
12.4 is 46.441947565543% of 26.7