16 is what percent of 86.82 - 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 86.82 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 86.82, so we can write it down as 100%=86.82.
4. We know, that x% equals 16 of the output value, so we can write it down as x%=16.
5. Now we have two simple equations:
1) 100%=86.82
2) x%=16
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%=86.82/16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16 is what percent of 86.82

100%/x%=86.82/16
(100/x)*x=(86.82/16)*x       - we multiply both sides of the equation by x
100=5.42625*x       - we divide both sides of the equation by (5.42625) to get x
100/5.42625=x
18.428933425478=x
x=18.428933425478

now we have:
16 is 18.428933425478% of 86.82