94.83 is what percent of 114 - 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 114 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 114, so we can write it down as 100%=114.
4. We know, that x% equals 94.83 of the output value, so we can write it down as x%=94.83.
5. Now we have two simple equations:
1) 100%=114
2) x%=94.83
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%=114/94.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 94.83 is what percent of 114

100%/x%=114/94.83
(100/x)*x=(114/94.83)*x       - we multiply both sides of the equation by x
100=1.202151217969*x       - we divide both sides of the equation by (1.202151217969) to get x
100/1.202151217969=x
83.184210526316=x
x=83.184210526316

now we have:
94.83 is 83.184210526316% of 114