99.2 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 99.2 of the output value, so we can write it down as x%=99.2.
5. Now we have two simple equations:
1) 100%=102.3
2) x%=99.2
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%=102.3/99.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.2 is what percent of 102.3

100%/x%=102.3/99.2
(100/x)*x=(102.3/99.2)*x       - we multiply both sides of the equation by x
100=1.03125*x       - we divide both sides of the equation by (1.03125) to get x
100/1.03125=x
96.969696969697=x
x=96.969696969697

now we have:
99.2 is 96.969696969697% of 102.3