6.28 is what percent of 39.99 - 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 39.99 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 39.99, so we can write it down as 100%=39.99.
4. We know, that x% equals 6.28 of the output value, so we can write it down as x%=6.28.
5. Now we have two simple equations:
1) 100%=39.99
2) x%=6.28
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%=39.99/6.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.28 is what percent of 39.99

100%/x%=39.99/6.28
(100/x)*x=(39.99/6.28)*x       - we multiply both sides of the equation by x
100=6.3678343949045*x       - we divide both sides of the equation by (6.3678343949045) to get x
100/6.3678343949045=x
15.703925981495=x
x=15.703925981495

now we have:
6.28 is 15.703925981495% of 39.99