13 is what percent of 44.28 - 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 44.28 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 44.28, so we can write it down as 100%=44.28.
4. We know, that x% equals 13 of the output value, so we can write it down as x%=13.
5. Now we have two simple equations:
1) 100%=44.28
2) x%=13
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%=44.28/13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13 is what percent of 44.28

100%/x%=44.28/13
(100/x)*x=(44.28/13)*x       - we multiply both sides of the equation by x
100=3.4061538461538*x       - we divide both sides of the equation by (3.4061538461538) to get x
100/3.4061538461538=x
29.358626919603=x
x=29.358626919603

now we have:
13 is 29.358626919603% of 44.28