42.6 is what percent of 233.9 - 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 233.9 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 233.9, so we can write it down as 100%=233.9.
4. We know, that x% equals 42.6 of the output value, so we can write it down as x%=42.6.
5. Now we have two simple equations:
1) 100%=233.9
2) x%=42.6
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%=233.9/42.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.6 is what percent of 233.9

100%/x%=233.9/42.6
(100/x)*x=(233.9/42.6)*x       - we multiply both sides of the equation by x
100=5.4906103286385*x       - we divide both sides of the equation by (5.4906103286385) to get x
100/5.4906103286385=x
18.212911500641=x
x=18.212911500641

now we have:
42.6 is 18.212911500641% of 233.9