20.5 is what percent of 100.5 - 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 100.5 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 100.5, so we can write it down as 100%=100.5.
4. We know, that x% equals 20.5 of the output value, so we can write it down as x%=20.5.
5. Now we have two simple equations:
1) 100%=100.5
2) x%=20.5
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%=100.5/20.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.5 is what percent of 100.5

100%/x%=100.5/20.5
(100/x)*x=(100.5/20.5)*x       - we multiply both sides of the equation by x
100=4.9024390243902*x       - we divide both sides of the equation by (4.9024390243902) to get x
100/4.9024390243902=x
20.398009950249=x
x=20.398009950249

now we have:
20.5 is 20.398009950249% of 100.5