What is 75.666666666667 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 75.666666666667% of the output value, so we can write it down as x=75.666666666667%.
5. Now we have two simple equations:
1) 20=100%
2) x=75.666666666667%
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%/75.666666666667%
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 75.666666666667% of 20

20/x=100/75.666666666667
(20/x)*x=(100/75.666666666667)*x       - we multiply both sides of the equation by x
20=1.3215859030837*x       - we divide both sides of the equation by (1.3215859030837) to get x
20/1.3215859030837=x
15.133333333333=x
x=15.133333333333

now we have:
75.666666666667% of 20=15.133333333333