50.9 is what percent of 102.9 - 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 102.9 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 102.9, so we can write it down as 100%=102.9.
4. We know, that x% equals 50.9 of the output value, so we can write it down as x%=50.9.
5. Now we have two simple equations:
1) 100%=102.9
2) x%=50.9
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%=102.9/50.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.9 is what percent of 102.9

100%/x%=102.9/50.9
(100/x)*x=(102.9/50.9)*x       - we multiply both sides of the equation by x
100=2.0216110019646*x       - we divide both sides of the equation by (2.0216110019646) to get x
100/2.0216110019646=x
49.465500485909=x
x=49.465500485909

now we have:
50.9 is 49.465500485909% of 102.9