53.02 is what percent of 27.5 - 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 27.5 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 27.5, so we can write it down as 100%=27.5.
4. We know, that x% equals 53.02 of the output value, so we can write it down as x%=53.02.
5. Now we have two simple equations:
1) 100%=27.5
2) x%=53.02
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%=27.5/53.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.02 is what percent of 27.5

100%/x%=27.5/53.02
(100/x)*x=(27.5/53.02)*x       - we multiply both sides of the equation by x
100=0.51867219917012*x       - we divide both sides of the equation by (0.51867219917012) to get x
100/0.51867219917012=x
192.8=x
x=192.8

now we have:
53.02 is 192.8% of 27.5