52 is what percent of 651 - 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 651 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 651, so we can write it down as 100%=651.
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%=651
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%=651/52
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 651

100%/x%=651/52
(100/x)*x=(651/52)*x       - we multiply both sides of the equation by x
100=12.519230769231*x       - we divide both sides of the equation by (12.519230769231) to get x
100/12.519230769231=x
7.9877112135177=x
x=7.9877112135177

now we have:
52 is 7.9877112135177% of 651