238.12 is what percent of 1003.38 - 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 1003.38 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 1003.38, so we can write it down as 100%=1003.38.
4. We know, that x% equals 238.12 of the output value, so we can write it down as x%=238.12.
5. Now we have two simple equations:
1) 100%=1003.38
2) x%=238.12
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%=1003.38/238.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 238.12 is what percent of 1003.38

100%/x%=1003.38/238.12
(100/x)*x=(1003.38/238.12)*x       - we multiply both sides of the equation by x
100=4.213757769192*x       - we divide both sides of the equation by (4.213757769192) to get x
100/4.213757769192=x
23.731786561422=x
x=23.731786561422

now we have:
238.12 is 23.731786561422% of 1003.38