20 is what percent of 226.2 - 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 226.2 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 226.2, so we can write it down as 100%=226.2.
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%=226.2
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%=226.2/20
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 226.2

100%/x%=226.2/20
(100/x)*x=(226.2/20)*x       - we multiply both sides of the equation by x
100=11.31*x       - we divide both sides of the equation by (11.31) to get x
100/11.31=x
8.841732979664=x
x=8.841732979664

now we have:
20 is 8.841732979664% of 226.2