204.099 is what percent of 5 - 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 5 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 5, so we can write it down as 100%=5.
4. We know, that x% equals 204.099 of the output value, so we can write it down as x%=204.099.
5. Now we have two simple equations:
1) 100%=5
2) x%=204.099
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%=5/204.099
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 204.099 is what percent of 5

100%/x%=5/204.099
(100/x)*x=(5/204.099)*x       - we multiply both sides of the equation by x
100=0.024497915227414*x       - we divide both sides of the equation by (0.024497915227414) to get x
100/0.024497915227414=x
4081.98=x
x=4081.98

now we have:
204.099 is 4081.98% of 5