18.99 is what percent of 3.08 - 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 3.08 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 3.08, so we can write it down as 100%=3.08.
4. We know, that x% equals 18.99 of the output value, so we can write it down as x%=18.99.
5. Now we have two simple equations:
1) 100%=3.08
2) x%=18.99
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%=3.08/18.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.99 is what percent of 3.08

100%/x%=3.08/18.99
(100/x)*x=(3.08/18.99)*x       - we multiply both sides of the equation by x
100=0.1621906266456*x       - we divide both sides of the equation by (0.1621906266456) to get x
100/0.1621906266456=x
616.55844155844=x
x=616.55844155844

now we have:
18.99 is 616.55844155844% of 3.08