23.1 is what percent of 206.4 - 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 206.4 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 206.4, so we can write it down as 100%=206.4.
4. We know, that x% equals 23.1 of the output value, so we can write it down as x%=23.1.
5. Now we have two simple equations:
1) 100%=206.4
2) x%=23.1
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%=206.4/23.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.1 is what percent of 206.4

100%/x%=206.4/23.1
(100/x)*x=(206.4/23.1)*x       - we multiply both sides of the equation by x
100=8.9350649350649*x       - we divide both sides of the equation by (8.9350649350649) to get x
100/8.9350649350649=x
11.191860465116=x
x=11.191860465116

now we have:
23.1 is 11.191860465116% of 206.4