52 is what percent of 2720 - 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 2720 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 2720, so we can write it down as 100%=2720.
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%=2720
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%=2720/52
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 2720

100%/x%=2720/52
(100/x)*x=(2720/52)*x       - we multiply both sides of the equation by x
100=52.307692307692*x       - we divide both sides of the equation by (52.307692307692) to get x
100/52.307692307692=x
1.9117647058824=x
x=1.9117647058824

now we have:
52 is 1.9117647058824% of 2720