52 is what percent of 592 - 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 592 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 592, so we can write it down as 100%=592.
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%=592
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%=592/52
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 592

100%/x%=592/52
(100/x)*x=(592/52)*x       - we multiply both sides of the equation by x
100=11.384615384615*x       - we divide both sides of the equation by (11.384615384615) to get x
100/11.384615384615=x
8.7837837837838=x
x=8.7837837837838

now we have:
52 is 8.7837837837838% of 592