99 is what percent of 107 - 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 107 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 107, so we can write it down as 100%=107.
4. We know, that x% equals 99 of the output value, so we can write it down as x%=99.
5. Now we have two simple equations:
1) 100%=107
2) x%=99
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%=107/99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99 is what percent of 107

100%/x%=107/99
(100/x)*x=(107/99)*x       - we multiply both sides of the equation by x
100=1.0808080808081*x       - we divide both sides of the equation by (1.0808080808081) to get x
100/1.0808080808081=x
92.523364485981=x
x=92.523364485981

now we have:
99 is 92.523364485981% of 107