18.79 is what percent of 215.96 - 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 215.96 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 215.96, so we can write it down as 100%=215.96.
4. We know, that x% equals 18.79 of the output value, so we can write it down as x%=18.79.
5. Now we have two simple equations:
1) 100%=215.96
2) x%=18.79
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%=215.96/18.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.79 is what percent of 215.96

100%/x%=215.96/18.79
(100/x)*x=(215.96/18.79)*x       - we multiply both sides of the equation by x
100=11.493347525279*x       - we divide both sides of the equation by (11.493347525279) to get x
100/11.493347525279=x
8.7006853120948=x
x=8.7006853120948

now we have:
18.79 is 8.7006853120948% of 215.96