34.89 is what percent of 109.88 - 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 109.88 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 109.88, so we can write it down as 100%=109.88.
4. We know, that x% equals 34.89 of the output value, so we can write it down as x%=34.89.
5. Now we have two simple equations:
1) 100%=109.88
2) x%=34.89
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%=109.88/34.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.89 is what percent of 109.88

100%/x%=109.88/34.89
(100/x)*x=(109.88/34.89)*x       - we multiply both sides of the equation by x
100=3.1493264545715*x       - we divide both sides of the equation by (3.1493264545715) to get x
100/3.1493264545715=x
31.752821259556=x
x=31.752821259556

now we have:
34.89 is 31.752821259556% of 109.88