What is 65.57 percent of 20 - 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 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 20 is 100%, so we can write it down as 20=100%.
4. We know, that x is 65.57% of the output value, so we can write it down as x=65.57%.
5. Now we have two simple equations:
1) 20=100%
2) x=65.57%
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:
20/x=100%/65.57%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 65.57% of 20

20/x=100/65.57
(20/x)*x=(100/65.57)*x       - we multiply both sides of the equation by x
20=1.5250876925423*x       - we divide both sides of the equation by (1.5250876925423) to get x
20/1.5250876925423=x
13.114=x
x=13.114

now we have:
65.57% of 20=13.114