52 is what percent of 98.2 - 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 98.2 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 98.2, so we can write it down as 100%=98.2.
4. We know, that x% equals 52 of the output value, so we can write it down as x%=52.
5. Now we have two simple equations:
1) 100%=98.2
2) x%=52
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%=98.2/52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52 is what percent of 98.2

100%/x%=98.2/52
(100/x)*x=(98.2/52)*x       - we multiply both sides of the equation by x
100=1.8884615384615*x       - we divide both sides of the equation by (1.8884615384615) to get x
100/1.8884615384615=x
52.953156822811=x
x=52.953156822811

now we have:
52 is 52.953156822811% of 98.2