18.69 is what percent of 153.69 - 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 153.69 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 153.69, so we can write it down as 100%=153.69.
4. We know, that x% equals 18.69 of the output value, so we can write it down as x%=18.69.
5. Now we have two simple equations:
1) 100%=153.69
2) x%=18.69
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%=153.69/18.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.69 is what percent of 153.69

100%/x%=153.69/18.69
(100/x)*x=(153.69/18.69)*x       - we multiply both sides of the equation by x
100=8.223113964687*x       - we divide both sides of the equation by (8.223113964687) to get x
100/8.223113964687=x
12.160843255905=x
x=12.160843255905

now we have:
18.69 is 12.160843255905% of 153.69