50.71 is what percent of 48.3 - 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 48.3 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 48.3, so we can write it down as 100%=48.3.
4. We know, that x% equals 50.71 of the output value, so we can write it down as x%=50.71.
5. Now we have two simple equations:
1) 100%=48.3
2) x%=50.71
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%=48.3/50.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.71 is what percent of 48.3

100%/x%=48.3/50.71
(100/x)*x=(48.3/50.71)*x       - we multiply both sides of the equation by x
100=0.95247485703017*x       - we divide both sides of the equation by (0.95247485703017) to get x
100/0.95247485703017=x
104.98964803313=x
x=104.98964803313

now we have:
50.71 is 104.98964803313% of 48.3