8.38 is what percent of 43.55 - 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 43.55 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 43.55, so we can write it down as 100%=43.55.
4. We know, that x% equals 8.38 of the output value, so we can write it down as x%=8.38.
5. Now we have two simple equations:
1) 100%=43.55
2) x%=8.38
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%=43.55/8.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.38 is what percent of 43.55

100%/x%=43.55/8.38
(100/x)*x=(43.55/8.38)*x       - we multiply both sides of the equation by x
100=5.1968973747017*x       - we divide both sides of the equation by (5.1968973747017) to get x
100/5.1968973747017=x
19.242250287026=x
x=19.242250287026

now we have:
8.38 is 19.242250287026% of 43.55