52.92 is what percent of 639.6 - 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 639.6 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 639.6, so we can write it down as 100%=639.6.
4. We know, that x% equals 52.92 of the output value, so we can write it down as x%=52.92.
5. Now we have two simple equations:
1) 100%=639.6
2) x%=52.92
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%=639.6/52.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.92 is what percent of 639.6

100%/x%=639.6/52.92
(100/x)*x=(639.6/52.92)*x       - we multiply both sides of the equation by x
100=12.086167800454*x       - we divide both sides of the equation by (12.086167800454) to get x
100/12.086167800454=x
8.2739212007505=x
x=8.2739212007505

now we have:
52.92 is 8.2739212007505% of 639.6