42.5 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 42.5 of the output value, so we can write it down as x%=42.5.
5. Now we have two simple equations:
1) 100%=52.75
2) x%=42.5
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%=52.75/42.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.5 is what percent of 52.75

100%/x%=52.75/42.5
(100/x)*x=(52.75/42.5)*x       - we multiply both sides of the equation by x
100=1.2411764705882*x       - we divide both sides of the equation by (1.2411764705882) to get x
100/1.2411764705882=x
80.568720379147=x
x=80.568720379147

now we have:
42.5 is 80.568720379147% of 52.75