3.06 is what percent of 34.9 - 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 34.9 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 34.9, so we can write it down as 100%=34.9.
4. We know, that x% equals 3.06 of the output value, so we can write it down as x%=3.06.
5. Now we have two simple equations:
1) 100%=34.9
2) x%=3.06
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%=34.9/3.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.06 is what percent of 34.9

100%/x%=34.9/3.06
(100/x)*x=(34.9/3.06)*x       - we multiply both sides of the equation by x
100=11.40522875817*x       - we divide both sides of the equation by (11.40522875817) to get x
100/11.40522875817=x
8.7679083094556=x
x=8.7679083094556

now we have:
3.06 is 8.7679083094556% of 34.9