20 is what percent of 220.4 - 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 220.4 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 220.4, so we can write it down as 100%=220.4.
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%=220.4
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%=220.4/20
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 220.4

100%/x%=220.4/20
(100/x)*x=(220.4/20)*x       - we multiply both sides of the equation by x
100=11.02*x       - we divide both sides of the equation by (11.02) to get x
100/11.02=x
9.0744101633394=x
x=9.0744101633394

now we have:
20 is 9.0744101633394% of 220.4