23.46 is what percent of 206.02 - 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 206.02 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 206.02, so we can write it down as 100%=206.02.
4. We know, that x% equals 23.46 of the output value, so we can write it down as x%=23.46.
5. Now we have two simple equations:
1) 100%=206.02
2) x%=23.46
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%=206.02/23.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.46 is what percent of 206.02

100%/x%=206.02/23.46
(100/x)*x=(206.02/23.46)*x       - we multiply both sides of the equation by x
100=8.7817561807332*x       - we divide both sides of the equation by (8.7817561807332) to get x
100/8.7817561807332=x
11.387243956897=x
x=11.387243956897

now we have:
23.46 is 11.387243956897% of 206.02