6 is what percent of 39.3 - 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 39.3 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 39.3, so we can write it down as 100%=39.3.
4. We know, that x% equals 6 of the output value, so we can write it down as x%=6.
5. Now we have two simple equations:
1) 100%=39.3
2) x%=6
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%=39.3/6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6 is what percent of 39.3

100%/x%=39.3/6
(100/x)*x=(39.3/6)*x       - we multiply both sides of the equation by x
100=6.55*x       - we divide both sides of the equation by (6.55) to get x
100/6.55=x
15.267175572519=x
x=15.267175572519

now we have:
6 is 15.267175572519% of 39.3