12.44 is what percent of 40.89 - 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 40.89 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 40.89, so we can write it down as 100%=40.89.
4. We know, that x% equals 12.44 of the output value, so we can write it down as x%=12.44.
5. Now we have two simple equations:
1) 100%=40.89
2) x%=12.44
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%=40.89/12.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.44 is what percent of 40.89

100%/x%=40.89/12.44
(100/x)*x=(40.89/12.44)*x       - we multiply both sides of the equation by x
100=3.2869774919614*x       - we divide both sides of the equation by (3.2869774919614) to get x
100/3.2869774919614=x
30.423086329176=x
x=30.423086329176

now we have:
12.44 is 30.423086329176% of 40.89