3.14 is what percent of 16.86 - 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 16.86 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 16.86, so we can write it down as 100%=16.86.
4. We know, that x% equals 3.14 of the output value, so we can write it down as x%=3.14.
5. Now we have two simple equations:
1) 100%=16.86
2) x%=3.14
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%=16.86/3.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.14 is what percent of 16.86

100%/x%=16.86/3.14
(100/x)*x=(16.86/3.14)*x       - we multiply both sides of the equation by x
100=5.3694267515924*x       - we divide both sides of the equation by (5.3694267515924) to get x
100/5.3694267515924=x
18.623962040332=x
x=18.623962040332

now we have:
3.14 is 18.623962040332% of 16.86