16.21 is what percent of 86.69 - 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 86.69 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 86.69, so we can write it down as 100%=86.69.
4. We know, that x% equals 16.21 of the output value, so we can write it down as x%=16.21.
5. Now we have two simple equations:
1) 100%=86.69
2) x%=16.21
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%=86.69/16.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.21 is what percent of 86.69

100%/x%=86.69/16.21
(100/x)*x=(86.69/16.21)*x       - we multiply both sides of the equation by x
100=5.3479333744602*x       - we divide both sides of the equation by (5.3479333744602) to get x
100/5.3479333744602=x
18.698811858346=x
x=18.698811858346

now we have:
16.21 is 18.698811858346% of 86.69