11.83 is what percent of 233 - 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 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, so we can write it down as 100%=233.
4. We know, that x% equals 11.83 of the output value, so we can write it down as x%=11.83.
5. Now we have two simple equations:
1) 100%=233
2) x%=11.83
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%=233/11.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.83 is what percent of 233

100%/x%=233/11.83
(100/x)*x=(233/11.83)*x       - we multiply both sides of the equation by x
100=19.695688926458*x       - we divide both sides of the equation by (19.695688926458) to get x
100/19.695688926458=x
5.0772532188841=x
x=5.0772532188841

now we have:
11.83 is 5.0772532188841% of 233