20.02 is what percent of 80.09 - 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 80.09 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 80.09, so we can write it down as 100%=80.09.
4. We know, that x% equals 20.02 of the output value, so we can write it down as x%=20.02.
5. Now we have two simple equations:
1) 100%=80.09
2) x%=20.02
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%=80.09/20.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.02 is what percent of 80.09

100%/x%=80.09/20.02
(100/x)*x=(80.09/20.02)*x       - we multiply both sides of the equation by x
100=4.0004995004995*x       - we divide both sides of the equation by (4.0004995004995) to get x
100/4.0004995004995=x
24.996878511674=x
x=24.996878511674

now we have:
20.02 is 24.996878511674% of 80.09