16.44 is what percent of 154.5 - 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 154.5 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 154.5, so we can write it down as 100%=154.5.
4. We know, that x% equals 16.44 of the output value, so we can write it down as x%=16.44.
5. Now we have two simple equations:
1) 100%=154.5
2) x%=16.44
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%=154.5/16.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.44 is what percent of 154.5

100%/x%=154.5/16.44
(100/x)*x=(154.5/16.44)*x       - we multiply both sides of the equation by x
100=9.3978102189781*x       - we divide both sides of the equation by (9.3978102189781) to get x
100/9.3978102189781=x
10.640776699029=x
x=10.640776699029

now we have:
16.44 is 10.640776699029% of 154.5