18.52 is what percent of 6 - 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 6 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 6, so we can write it down as 100%=6.
4. We know, that x% equals 18.52 of the output value, so we can write it down as x%=18.52.
5. Now we have two simple equations:
1) 100%=6
2) x%=18.52
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%=6/18.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.52 is what percent of 6

100%/x%=6/18.52
(100/x)*x=(6/18.52)*x       - we multiply both sides of the equation by x
100=0.32397408207343*x       - we divide both sides of the equation by (0.32397408207343) to get x
100/0.32397408207343=x
308.66666666667=x
x=308.66666666667

now we have:
18.52 is 308.66666666667% of 6