6 is what percent of 4796 - 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 4796 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 4796, so we can write it down as 100%=4796.
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%=4796
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%=4796/6
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 4796

100%/x%=4796/6
(100/x)*x=(4796/6)*x       - we multiply both sides of the equation by x
100=799.33333333333*x       - we divide both sides of the equation by (799.33333333333) to get x
100/799.33333333333=x
0.12510425354462=x
x=0.12510425354462

now we have:
6 is 0.12510425354462% of 4796