0.65 is what percent of 20.28 - 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 20.28 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 20.28, so we can write it down as 100%=20.28.
4. We know, that x% equals 0.65 of the output value, so we can write it down as x%=0.65.
5. Now we have two simple equations:
1) 100%=20.28
2) x%=0.65
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%=20.28/0.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.65 is what percent of 20.28

100%/x%=20.28/0.65
(100/x)*x=(20.28/0.65)*x       - we multiply both sides of the equation by x
100=31.2*x       - we divide both sides of the equation by (31.2) to get x
100/31.2=x
3.2051282051282=x
x=3.2051282051282

now we have:
0.65 is 3.2051282051282% of 20.28