18.4 is what percent of 44.3 - 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 44.3 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 44.3, so we can write it down as 100%=44.3.
4. We know, that x% equals 18.4 of the output value, so we can write it down as x%=18.4.
5. Now we have two simple equations:
1) 100%=44.3
2) x%=18.4
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%=44.3/18.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.4 is what percent of 44.3

100%/x%=44.3/18.4
(100/x)*x=(44.3/18.4)*x       - we multiply both sides of the equation by x
100=2.4076086956522*x       - we divide both sides of the equation by (2.4076086956522) to get x
100/2.4076086956522=x
41.534988713318=x
x=41.534988713318

now we have:
18.4 is 41.534988713318% of 44.3