34.22 is what percent of 92.8 - 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 92.8 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 92.8, so we can write it down as 100%=92.8.
4. We know, that x% equals 34.22 of the output value, so we can write it down as x%=34.22.
5. Now we have two simple equations:
1) 100%=92.8
2) x%=34.22
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%=92.8/34.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.22 is what percent of 92.8

100%/x%=92.8/34.22
(100/x)*x=(92.8/34.22)*x       - we multiply both sides of the equation by x
100=2.7118644067797*x       - we divide both sides of the equation by (2.7118644067797) to get x
100/2.7118644067797=x
36.875=x
x=36.875

now we have:
34.22 is 36.875% of 92.8