20 is what percent of 43.09 - 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 43.09 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 43.09, so we can write it down as 100%=43.09.
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%=43.09
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%=43.09/20
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 43.09

100%/x%=43.09/20
(100/x)*x=(43.09/20)*x       - we multiply both sides of the equation by x
100=2.1545*x       - we divide both sides of the equation by (2.1545) to get x
100/2.1545=x
46.414481318171=x
x=46.414481318171

now we have:
20 is 46.414481318171% of 43.09