16.86 is what percent of 217.49 - 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 217.49 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 217.49, so we can write it down as 100%=217.49.
4. We know, that x% equals 16.86 of the output value, so we can write it down as x%=16.86.
5. Now we have two simple equations:
1) 100%=217.49
2) x%=16.86
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%=217.49/16.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.86 is what percent of 217.49

100%/x%=217.49/16.86
(100/x)*x=(217.49/16.86)*x       - we multiply both sides of the equation by x
100=12.899762752076*x       - we divide both sides of the equation by (12.899762752076) to get x
100/12.899762752076=x
7.7520805554278=x
x=7.7520805554278

now we have:
16.86 is 7.7520805554278% of 217.49