6 is what percent of 10036 - 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 10036 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 10036, so we can write it down as 100%=10036.
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%=10036
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%=10036/6
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 10036

100%/x%=10036/6
(100/x)*x=(10036/6)*x       - we multiply both sides of the equation by x
100=1672.6666666667*x       - we divide both sides of the equation by (1672.6666666667) to get x
100/1672.6666666667=x
0.059784774810682=x
x=0.059784774810682

now we have:
6 is 0.059784774810682% of 10036