16.65 is what percent of 67.95 - 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 67.95 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 67.95, so we can write it down as 100%=67.95.
4. We know, that x% equals 16.65 of the output value, so we can write it down as x%=16.65.
5. Now we have two simple equations:
1) 100%=67.95
2) x%=16.65
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%=67.95/16.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.65 is what percent of 67.95

100%/x%=67.95/16.65
(100/x)*x=(67.95/16.65)*x       - we multiply both sides of the equation by x
100=4.0810810810811*x       - we divide both sides of the equation by (4.0810810810811) to get x
100/4.0810810810811=x
24.503311258278=x
x=24.503311258278

now we have:
16.65 is 24.503311258278% of 67.95