6 is what percent of 51.69 - 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 51.69 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 51.69, so we can write it down as 100%=51.69.
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%=51.69
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%=51.69/6
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 51.69

100%/x%=51.69/6
(100/x)*x=(51.69/6)*x       - we multiply both sides of the equation by x
100=8.615*x       - we divide both sides of the equation by (8.615) to get x
100/8.615=x
11.607661056297=x
x=11.607661056297

now we have:
6 is 11.607661056297% of 51.69