20.34 is what percent of 65.77 - 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 65.77 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 65.77, so we can write it down as 100%=65.77.
4. We know, that x% equals 20.34 of the output value, so we can write it down as x%=20.34.
5. Now we have two simple equations:
1) 100%=65.77
2) x%=20.34
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%=65.77/20.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.34 is what percent of 65.77

100%/x%=65.77/20.34
(100/x)*x=(65.77/20.34)*x       - we multiply both sides of the equation by x
100=3.2335299901672*x       - we divide both sides of the equation by (3.2335299901672) to get x
100/3.2335299901672=x
30.925954082408=x
x=30.925954082408

now we have:
20.34 is 30.925954082408% of 65.77