20 is what percent of 226.44 - 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 226.44 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 226.44, so we can write it down as 100%=226.44.
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%=226.44
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%=226.44/20
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 226.44

100%/x%=226.44/20
(100/x)*x=(226.44/20)*x       - we multiply both sides of the equation by x
100=11.322*x       - we divide both sides of the equation by (11.322) to get x
100/11.322=x
8.8323617735382=x
x=8.8323617735382

now we have:
20 is 8.8323617735382% of 226.44