103.1 is what percent of 506.75 - 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 506.75 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 506.75, so we can write it down as 100%=506.75.
4. We know, that x% equals 103.1 of the output value, so we can write it down as x%=103.1.
5. Now we have two simple equations:
1) 100%=506.75
2) x%=103.1
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%=506.75/103.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.1 is what percent of 506.75

100%/x%=506.75/103.1
(100/x)*x=(506.75/103.1)*x       - we multiply both sides of the equation by x
100=4.9151309408341*x       - we divide both sides of the equation by (4.9151309408341) to get x
100/4.9151309408341=x
20.345337937839=x
x=20.345337937839

now we have:
103.1 is 20.345337937839% of 506.75