3.96 is what percent of 20.04 - 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 20.04 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 20.04, so we can write it down as 100%=20.04.
4. We know, that x% equals 3.96 of the output value, so we can write it down as x%=3.96.
5. Now we have two simple equations:
1) 100%=20.04
2) x%=3.96
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%=20.04/3.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.96 is what percent of 20.04

100%/x%=20.04/3.96
(100/x)*x=(20.04/3.96)*x       - we multiply both sides of the equation by x
100=5.0606060606061*x       - we divide both sides of the equation by (5.0606060606061) to get x
100/5.0606060606061=x
19.760479041916=x
x=19.760479041916

now we have:
3.96 is 19.760479041916% of 20.04