95.96 is what percent of 99.09 - 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 99.09 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 99.09, so we can write it down as 100%=99.09.
4. We know, that x% equals 95.96 of the output value, so we can write it down as x%=95.96.
5. Now we have two simple equations:
1) 100%=99.09
2) x%=95.96
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%=99.09/95.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 95.96 is what percent of 99.09

100%/x%=99.09/95.96
(100/x)*x=(99.09/95.96)*x       - we multiply both sides of the equation by x
100=1.0326177573989*x       - we divide both sides of the equation by (1.0326177573989) to get x
100/1.0326177573989=x
96.841255424362=x
x=96.841255424362

now we have:
95.96 is 96.841255424362% of 99.09