20 is what percent of 4389 - 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 4389 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 4389, so we can write it down as 100%=4389.
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%=4389
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%=4389/20
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 4389

100%/x%=4389/20
(100/x)*x=(4389/20)*x       - we multiply both sides of the equation by x
100=219.45*x       - we divide both sides of the equation by (219.45) to get x
100/219.45=x
0.45568466621098=x
x=0.45568466621098

now we have:
20 is 0.45568466621098% of 4389