2.04 is what percent of 102.642 - 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 102.642 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 102.642, so we can write it down as 100%=102.642.
4. We know, that x% equals 2.04 of the output value, so we can write it down as x%=2.04.
5. Now we have two simple equations:
1) 100%=102.642
2) x%=2.04
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%=102.642/2.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.04 is what percent of 102.642

100%/x%=102.642/2.04
(100/x)*x=(102.642/2.04)*x       - we multiply both sides of the equation by x
100=50.314705882353*x       - we divide both sides of the equation by (50.314705882353) to get x
100/50.314705882353=x
1.9874905009645=x
x=1.9874905009645

now we have:
2.04 is 1.9874905009645% of 102.642