2.08 is what percent of 75.95 - 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 75.95 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 75.95, so we can write it down as 100%=75.95.
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%=75.95
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%=75.95/2.08
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 75.95

100%/x%=75.95/2.08
(100/x)*x=(75.95/2.08)*x       - we multiply both sides of the equation by x
100=36.514423076923*x       - we divide both sides of the equation by (36.514423076923) to get x
100/36.514423076923=x
2.7386438446346=x
x=2.7386438446346

now we have:
2.08 is 2.7386438446346% of 75.95