20 is what percent of 5165 - 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 5165 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 5165, so we can write it down as 100%=5165.
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%=5165
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%=5165/20
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 5165

100%/x%=5165/20
(100/x)*x=(5165/20)*x       - we multiply both sides of the equation by x
100=258.25*x       - we divide both sides of the equation by (258.25) to get x
100/258.25=x
0.38722168441433=x
x=0.38722168441433

now we have:
20 is 0.38722168441433% of 5165