52 is what percent of 664 - 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 664 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 664, so we can write it down as 100%=664.
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%=664
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%=664/52
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 664

100%/x%=664/52
(100/x)*x=(664/52)*x       - we multiply both sides of the equation by x
100=12.769230769231*x       - we divide both sides of the equation by (12.769230769231) to get x
100/12.769230769231=x
7.8313253012048=x
x=7.8313253012048

now we have:
52 is 7.8313253012048% of 664