20 is what percent of 5.09 - 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 5.09 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 5.09, so we can write it down as 100%=5.09.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=5.09
2) x%=20
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%=5.09/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 5.09

100%/x%=5.09/20
(100/x)*x=(5.09/20)*x       - we multiply both sides of the equation by x
100=0.2545*x       - we divide both sides of the equation by (0.2545) to get x
100/0.2545=x
392.92730844794=x
x=392.92730844794

now we have:
20 is 392.92730844794% of 5.09