6 is what percent of 17960 - 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 17960 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 17960, so we can write it down as 100%=17960.
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%=17960
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%=17960/6
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 17960

100%/x%=17960/6
(100/x)*x=(17960/6)*x       - we multiply both sides of the equation by x
100=2993.3333333333*x       - we divide both sides of the equation by (2993.3333333333) to get x
100/2993.3333333333=x
0.033407572383073=x
x=0.033407572383073

now we have:
6 is 0.033407572383073% of 17960