5.64 is what percent of 9.77 - 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 9.77 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 9.77, so we can write it down as 100%=9.77.
4. We know, that x% equals 5.64 of the output value, so we can write it down as x%=5.64.
5. Now we have two simple equations:
1) 100%=9.77
2) x%=5.64
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%=9.77/5.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.64 is what percent of 9.77

100%/x%=9.77/5.64
(100/x)*x=(9.77/5.64)*x       - we multiply both sides of the equation by x
100=1.7322695035461*x       - we divide both sides of the equation by (1.7322695035461) to get x
100/1.7322695035461=x
57.727737973388=x
x=57.727737973388

now we have:
5.64 is 57.727737973388% of 9.77