2.92 is what percent of 34.85 - 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 34.85 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 34.85, so we can write it down as 100%=34.85.
4. We know, that x% equals 2.92 of the output value, so we can write it down as x%=2.92.
5. Now we have two simple equations:
1) 100%=34.85
2) x%=2.92
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%=34.85/2.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.92 is what percent of 34.85

100%/x%=34.85/2.92
(100/x)*x=(34.85/2.92)*x       - we multiply both sides of the equation by x
100=11.934931506849*x       - we divide both sides of the equation by (11.934931506849) to get x
100/11.934931506849=x
8.3787661406026=x
x=8.3787661406026

now we have:
2.92 is 8.3787661406026% of 34.85