33.78 is what percent of 30.28 - 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 30.28 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 30.28, so we can write it down as 100%=30.28.
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%=30.28
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%=30.28/33.78
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 30.28

100%/x%=30.28/33.78
(100/x)*x=(30.28/33.78)*x       - we multiply both sides of the equation by x
100=0.8963883955003*x       - we divide both sides of the equation by (0.8963883955003) to get x
100/0.8963883955003=x
111.55878467635=x
x=111.55878467635

now we have:
33.78 is 111.55878467635% of 30.28