5.05 is what percent of 7.75 - 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 7.75 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 7.75, so we can write it down as 100%=7.75.
4. We know, that x% equals 5.05 of the output value, so we can write it down as x%=5.05.
5. Now we have two simple equations:
1) 100%=7.75
2) x%=5.05
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%=7.75/5.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.05 is what percent of 7.75

100%/x%=7.75/5.05
(100/x)*x=(7.75/5.05)*x       - we multiply both sides of the equation by x
100=1.5346534653465*x       - we divide both sides of the equation by (1.5346534653465) to get x
100/1.5346534653465=x
65.161290322581=x
x=65.161290322581

now we have:
5.05 is 65.161290322581% of 7.75