20.64 is what percent of 270.77 - 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 270.77 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 270.77, so we can write it down as 100%=270.77.
4. We know, that x% equals 20.64 of the output value, so we can write it down as x%=20.64.
5. Now we have two simple equations:
1) 100%=270.77
2) x%=20.64
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%=270.77/20.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.64 is what percent of 270.77

100%/x%=270.77/20.64
(100/x)*x=(270.77/20.64)*x       - we multiply both sides of the equation by x
100=13.118701550388*x       - we divide both sides of the equation by (13.118701550388) to get x
100/13.118701550388=x
7.6227056173136=x
x=7.6227056173136

now we have:
20.64 is 7.6227056173136% of 270.77