20 is what percent of 1038.46 - 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 1038.46 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 1038.46, so we can write it down as 100%=1038.46.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=1038.46
2) x%=20
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%=1038.46/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 1038.46

100%/x%=1038.46/20
(100/x)*x=(1038.46/20)*x       - we multiply both sides of the equation by x
100=51.923*x       - we divide both sides of the equation by (51.923) to get x
100/51.923=x
1.9259287791537=x
x=1.9259287791537

now we have:
20 is 1.9259287791537% of 1038.46