99.5 is what percent of 100 - 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 100 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 100, so we can write it down as 100%=100.
4. We know, that x% equals 99.5 of the output value, so we can write it down as x%=99.5.
5. Now we have two simple equations:
1) 100%=100
2) x%=99.5
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%=100/99.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.5 is what percent of 100

100%/x%=100/99.5
(100/x)*x=(100/99.5)*x       - we multiply both sides of the equation by x
100=1.0050251256281*x       - we divide both sides of the equation by (1.0050251256281) to get x
100/1.0050251256281=x
99.5=x
x=99.5

now we have:
99.5 is 99.5% of 100