12.43 is what percent of 27.89 - 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 27.89 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 27.89, so we can write it down as 100%=27.89.
4. We know, that x% equals 12.43 of the output value, so we can write it down as x%=12.43.
5. Now we have two simple equations:
1) 100%=27.89
2) x%=12.43
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%=27.89/12.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.43 is what percent of 27.89

100%/x%=27.89/12.43
(100/x)*x=(27.89/12.43)*x       - we multiply both sides of the equation by x
100=2.243765084473*x       - we divide both sides of the equation by (2.243765084473) to get x
100/2.243765084473=x
44.567945500179=x
x=44.567945500179

now we have:
12.43 is 44.567945500179% of 27.89