50.6 is what percent of 77.7 - 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 77.7 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 77.7, so we can write it down as 100%=77.7.
4. We know, that x% equals 50.6 of the output value, so we can write it down as x%=50.6.
5. Now we have two simple equations:
1) 100%=77.7
2) x%=50.6
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%=77.7/50.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.6 is what percent of 77.7

100%/x%=77.7/50.6
(100/x)*x=(77.7/50.6)*x       - we multiply both sides of the equation by x
100=1.5355731225296*x       - we divide both sides of the equation by (1.5355731225296) to get x
100/1.5355731225296=x
65.122265122265=x
x=65.122265122265

now we have:
50.6 is 65.122265122265% of 77.7