18.89 is what percent of 208.99 - 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 208.99 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 208.99, so we can write it down as 100%=208.99.
4. We know, that x% equals 18.89 of the output value, so we can write it down as x%=18.89.
5. Now we have two simple equations:
1) 100%=208.99
2) x%=18.89
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%=208.99/18.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.89 is what percent of 208.99

100%/x%=208.99/18.89
(100/x)*x=(208.99/18.89)*x       - we multiply both sides of the equation by x
100=11.06352567496*x       - we divide both sides of the equation by (11.06352567496) to get x
100/11.06352567496=x
9.0387099861237=x
x=9.0387099861237

now we have:
18.89 is 9.0387099861237% of 208.99