20 is what percent of 2.3 - 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 2.3 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 2.3, so we can write it down as 100%=2.3.
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%=2.3
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%=2.3/20
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 2.3

100%/x%=2.3/20
(100/x)*x=(2.3/20)*x       - we multiply both sides of the equation by x
100=0.115*x       - we divide both sides of the equation by (0.115) to get x
100/0.115=x
869.5652173913=x
x=869.5652173913

now we have:
20 is 869.5652173913% of 2.3