9.99 is what percent of 3.18 - 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 3.18 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 3.18, so we can write it down as 100%=3.18.
4. We know, that x% equals 9.99 of the output value, so we can write it down as x%=9.99.
5. Now we have two simple equations:
1) 100%=3.18
2) x%=9.99
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%=3.18/9.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.99 is what percent of 3.18

100%/x%=3.18/9.99
(100/x)*x=(3.18/9.99)*x       - we multiply both sides of the equation by x
100=0.31831831831832*x       - we divide both sides of the equation by (0.31831831831832) to get x
100/0.31831831831832=x
314.15094339623=x
x=314.15094339623

now we have:
9.99 is 314.15094339623% of 3.18