20 is what percent of 90.19 - 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 90.19 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 90.19, so we can write it down as 100%=90.19.
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%=90.19
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%=90.19/20
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 90.19

100%/x%=90.19/20
(100/x)*x=(90.19/20)*x       - we multiply both sides of the equation by x
100=4.5095*x       - we divide both sides of the equation by (4.5095) to get x
100/4.5095=x
22.175407473112=x
x=22.175407473112

now we have:
20 is 22.175407473112% of 90.19