103.88 is what percent of 2001.8 - 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 2001.8 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 2001.8, so we can write it down as 100%=2001.8.
4. We know, that x% equals 103.88 of the output value, so we can write it down as x%=103.88.
5. Now we have two simple equations:
1) 100%=2001.8
2) x%=103.88
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%=2001.8/103.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.88 is what percent of 2001.8

100%/x%=2001.8/103.88
(100/x)*x=(2001.8/103.88)*x       - we multiply both sides of the equation by x
100=19.270311898344*x       - we divide both sides of the equation by (19.270311898344) to get x
100/19.270311898344=x
5.189329603357=x
x=5.189329603357

now we have:
103.88 is 5.189329603357% of 2001.8