34.47 is what percent of 30.85 - 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 30.85 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 30.85, so we can write it down as 100%=30.85.
4. We know, that x% equals 34.47 of the output value, so we can write it down as x%=34.47.
5. Now we have two simple equations:
1) 100%=30.85
2) x%=34.47
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%=30.85/34.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.47 is what percent of 30.85

100%/x%=30.85/34.47
(100/x)*x=(30.85/34.47)*x       - we multiply both sides of the equation by x
100=0.89498114302292*x       - we divide both sides of the equation by (0.89498114302292) to get x
100/0.89498114302292=x
111.73419773096=x
x=111.73419773096

now we have:
34.47 is 111.73419773096% of 30.85