6 is what percent of 3235 - 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 3235 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 3235, so we can write it down as 100%=3235.
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%=3235
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%=3235/6
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 3235

100%/x%=3235/6
(100/x)*x=(3235/6)*x       - we multiply both sides of the equation by x
100=539.16666666667*x       - we divide both sides of the equation by (539.16666666667) to get x
100/539.16666666667=x
0.1854714064915=x
x=0.1854714064915

now we have:
6 is 0.1854714064915% of 3235