23.1 is what percent of 202.6 - 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 202.6 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 202.6, so we can write it down as 100%=202.6.
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%=202.6
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%=202.6/23.1
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 202.6

100%/x%=202.6/23.1
(100/x)*x=(202.6/23.1)*x       - we multiply both sides of the equation by x
100=8.7705627705628*x       - we divide both sides of the equation by (8.7705627705628) to get x
100/8.7705627705628=x
11.401776900296=x
x=11.401776900296

now we have:
23.1 is 11.401776900296% of 202.6