6 is what percent of 757 - 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 757 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 757, so we can write it down as 100%=757.
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%=757
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%=757/6
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 757

100%/x%=757/6
(100/x)*x=(757/6)*x       - we multiply both sides of the equation by x
100=126.16666666667*x       - we divide both sides of the equation by (126.16666666667) to get x
100/126.16666666667=x
0.79260237780713=x
x=0.79260237780713

now we have:
6 is 0.79260237780713% of 757