200.6 is what percent of 1003.08 - 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 1003.08 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 1003.08, so we can write it down as 100%=1003.08.
4. We know, that x% equals 200.6 of the output value, so we can write it down as x%=200.6.
5. Now we have two simple equations:
1) 100%=1003.08
2) x%=200.6
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%=1003.08/200.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 200.6 is what percent of 1003.08

100%/x%=1003.08/200.6
(100/x)*x=(1003.08/200.6)*x       - we multiply both sides of the equation by x
100=5.0003988035892*x       - we divide both sides of the equation by (5.0003988035892) to get x
100/5.0003988035892=x
19.998404912868=x
x=19.998404912868

now we have:
200.6 is 19.998404912868% of 1003.08