56.5 is what percent of 102 - 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 102 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 102, so we can write it down as 100%=102.
4. We know, that x% equals 56.5 of the output value, so we can write it down as x%=56.5.
5. Now we have two simple equations:
1) 100%=102
2) x%=56.5
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%=102/56.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.5 is what percent of 102

100%/x%=102/56.5
(100/x)*x=(102/56.5)*x       - we multiply both sides of the equation by x
100=1.8053097345133*x       - we divide both sides of the equation by (1.8053097345133) to get x
100/1.8053097345133=x
55.392156862745=x
x=55.392156862745

now we have:
56.5 is 55.392156862745% of 102