52.25 is what percent of 52.75 - 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 52.75 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 52.75, so we can write it down as 100%=52.75.
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%=52.75
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%=52.75/52.25
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 52.75

100%/x%=52.75/52.25
(100/x)*x=(52.75/52.25)*x       - we multiply both sides of the equation by x
100=1.0095693779904*x       - we divide both sides of the equation by (1.0095693779904) to get x
100/1.0095693779904=x
99.052132701422=x
x=99.052132701422

now we have:
52.25 is 99.052132701422% of 52.75