52.25 is what percent of 50 - 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 50 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 50, so we can write it down as 100%=50.
4. We know, that x% equals 52.25 of the output value, so we can write it down as x%=52.25.
5. Now we have two simple equations:
1) 100%=50
2) x%=52.25
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%=50/52.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.25 is what percent of 50

100%/x%=50/52.25
(100/x)*x=(50/52.25)*x       - we multiply both sides of the equation by x
100=0.95693779904306*x       - we divide both sides of the equation by (0.95693779904306) to get x
100/0.95693779904306=x
104.5=x
x=104.5

now we have:
52.25 is 104.5% of 50