33.78 is what percent of 95.85 - 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 95.85 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 95.85, so we can write it down as 100%=95.85.
4. We know, that x% equals 33.78 of the output value, so we can write it down as x%=33.78.
5. Now we have two simple equations:
1) 100%=95.85
2) x%=33.78
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%=95.85/33.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.78 is what percent of 95.85

100%/x%=95.85/33.78
(100/x)*x=(95.85/33.78)*x       - we multiply both sides of the equation by x
100=2.8374777975133*x       - we divide both sides of the equation by (2.8374777975133) to get x
100/2.8374777975133=x
35.242566510172=x
x=35.242566510172

now we have:
33.78 is 35.242566510172% of 95.85