52.95 is what percent of 592.2 - 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 592.2 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 592.2, so we can write it down as 100%=592.2.
4. We know, that x% equals 52.95 of the output value, so we can write it down as x%=52.95.
5. Now we have two simple equations:
1) 100%=592.2
2) x%=52.95
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%=592.2/52.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.95 is what percent of 592.2

100%/x%=592.2/52.95
(100/x)*x=(592.2/52.95)*x       - we multiply both sides of the equation by x
100=11.184135977337*x       - we divide both sides of the equation by (11.184135977337) to get x
100/11.184135977337=x
8.9412360688956=x
x=8.9412360688956

now we have:
52.95 is 8.9412360688956% of 592.2