2.08 is what percent of 87.13 - 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 87.13 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 87.13, so we can write it down as 100%=87.13.
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%=87.13
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%=87.13/2.08
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 87.13

100%/x%=87.13/2.08
(100/x)*x=(87.13/2.08)*x       - we multiply both sides of the equation by x
100=41.889423076923*x       - we divide both sides of the equation by (41.889423076923) to get x
100/41.889423076923=x
2.3872374612648=x
x=2.3872374612648

now we have:
2.08 is 2.3872374612648% of 87.13