50.25 is what percent of 52.6 - 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 52.6 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 52.6, so we can write it down as 100%=52.6.
4. We know, that x% equals 50.25 of the output value, so we can write it down as x%=50.25.
5. Now we have two simple equations:
1) 100%=52.6
2) x%=50.25
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%=52.6/50.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.25 is what percent of 52.6

100%/x%=52.6/50.25
(100/x)*x=(52.6/50.25)*x       - we multiply both sides of the equation by x
100=1.0467661691542*x       - we divide both sides of the equation by (1.0467661691542) to get x
100/1.0467661691542=x
95.532319391635=x
x=95.532319391635

now we have:
50.25 is 95.532319391635% of 52.6