16.06 is what percent of 786.5 - 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 786.5 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 786.5, so we can write it down as 100%=786.5.
4. We know, that x% equals 16.06 of the output value, so we can write it down as x%=16.06.
5. Now we have two simple equations:
1) 100%=786.5
2) x%=16.06
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%=786.5/16.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.06 is what percent of 786.5

100%/x%=786.5/16.06
(100/x)*x=(786.5/16.06)*x       - we multiply both sides of the equation by x
100=48.972602739726*x       - we divide both sides of the equation by (48.972602739726) to get x
100/48.972602739726=x
2.041958041958=x
x=2.041958041958

now we have:
16.06 is 2.041958041958% of 786.5