63 is what percent of 102.3 - 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 102.3 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 102.3, so we can write it down as 100%=102.3.
4. We know, that x% equals 63 of the output value, so we can write it down as x%=63.
5. Now we have two simple equations:
1) 100%=102.3
2) x%=63
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%=102.3/63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63 is what percent of 102.3

100%/x%=102.3/63
(100/x)*x=(102.3/63)*x       - we multiply both sides of the equation by x
100=1.6238095238095*x       - we divide both sides of the equation by (1.6238095238095) to get x
100/1.6238095238095=x
61.58357771261=x
x=61.58357771261

now we have:
63 is 61.58357771261% of 102.3