2.08 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 2.08 of the output value, so we can write it down as x%=2.08.
5. Now we have two simple equations:
1) 100%=34.9
2) x%=2.08
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%=34.9/2.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.08 is what percent of 34.9

100%/x%=34.9/2.08
(100/x)*x=(34.9/2.08)*x       - we multiply both sides of the equation by x
100=16.778846153846*x       - we divide both sides of the equation by (16.778846153846) to get x
100/16.778846153846=x
5.9598853868195=x
x=5.9598853868195

now we have:
2.08 is 5.9598853868195% of 34.9