104.92 is what percent of 506.28 - 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 506.28 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 506.28, so we can write it down as 100%=506.28.
4. We know, that x% equals 104.92 of the output value, so we can write it down as x%=104.92.
5. Now we have two simple equations:
1) 100%=506.28
2) x%=104.92
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%=506.28/104.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.92 is what percent of 506.28

100%/x%=506.28/104.92
(100/x)*x=(506.28/104.92)*x       - we multiply both sides of the equation by x
100=4.825390773923*x       - we divide both sides of the equation by (4.825390773923) to get x
100/4.825390773923=x
20.723710199889=x
x=20.723710199889

now we have:
104.92 is 20.723710199889% of 506.28