99.5 is what percent of 119.5 - 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 119.5 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 119.5, so we can write it down as 100%=119.5.
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%=119.5
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%=119.5/99.5
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 119.5

100%/x%=119.5/99.5
(100/x)*x=(119.5/99.5)*x       - we multiply both sides of the equation by x
100=1.2010050251256*x       - we divide both sides of the equation by (1.2010050251256) to get x
100/1.2010050251256=x
83.26359832636=x
x=83.26359832636

now we have:
99.5 is 83.26359832636% of 119.5