6 is what percent of 15.775 - 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 15.775 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 15.775, so we can write it down as 100%=15.775.
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%=15.775
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%=15.775/6
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 15.775

100%/x%=15.775/6
(100/x)*x=(15.775/6)*x       - we multiply both sides of the equation by x
100=2.6291666666667*x       - we divide both sides of the equation by (2.6291666666667) to get x
100/2.6291666666667=x
38.034865293185=x
x=38.034865293185

now we have:
6 is 38.034865293185% of 15.775