24.82 is what percent of 20.2 - 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 20.2 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 20.2, so we can write it down as 100%=20.2.
4. We know, that x% equals 24.82 of the output value, so we can write it down as x%=24.82.
5. Now we have two simple equations:
1) 100%=20.2
2) x%=24.82
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%=20.2/24.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.82 is what percent of 20.2

100%/x%=20.2/24.82
(100/x)*x=(20.2/24.82)*x       - we multiply both sides of the equation by x
100=0.81385979049154*x       - we divide both sides of the equation by (0.81385979049154) to get x
100/0.81385979049154=x
122.87128712871=x
x=122.87128712871

now we have:
24.82 is 122.87128712871% of 20.2