6 is what percent of 40.93 - 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 40.93 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 40.93, so we can write it down as 100%=40.93.
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%=40.93
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%=40.93/6
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 40.93

100%/x%=40.93/6
(100/x)*x=(40.93/6)*x       - we multiply both sides of the equation by x
100=6.8216666666667*x       - we divide both sides of the equation by (6.8216666666667) to get x
100/6.8216666666667=x
14.659174199853=x
x=14.659174199853

now we have:
6 is 14.659174199853% of 40.93