3.11 is what percent of 20.76 - 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 20.76 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 20.76, so we can write it down as 100%=20.76.
4. We know, that x% equals 3.11 of the output value, so we can write it down as x%=3.11.
5. Now we have two simple equations:
1) 100%=20.76
2) x%=3.11
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%=20.76/3.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.11 is what percent of 20.76

100%/x%=20.76/3.11
(100/x)*x=(20.76/3.11)*x       - we multiply both sides of the equation by x
100=6.6752411575563*x       - we divide both sides of the equation by (6.6752411575563) to get x
100/6.6752411575563=x
14.980732177264=x
x=14.980732177264

now we have:
3.11 is 14.980732177264% of 20.76