50.61 is what percent of 96.4 - 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 96.4 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 96.4, so we can write it down as 100%=96.4.
4. We know, that x% equals 50.61 of the output value, so we can write it down as x%=50.61.
5. Now we have two simple equations:
1) 100%=96.4
2) x%=50.61
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%=96.4/50.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.61 is what percent of 96.4

100%/x%=96.4/50.61
(100/x)*x=(96.4/50.61)*x       - we multiply both sides of the equation by x
100=1.9047619047619*x       - we divide both sides of the equation by (1.9047619047619) to get x
100/1.9047619047619=x
52.5=x
x=52.5

now we have:
50.61 is 52.5% of 96.4