6 is what percent of 126.3 - 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 126.3 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 126.3, so we can write it down as 100%=126.3.
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%=126.3
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%=126.3/6
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 126.3

100%/x%=126.3/6
(100/x)*x=(126.3/6)*x       - we multiply both sides of the equation by x
100=21.05*x       - we divide both sides of the equation by (21.05) to get x
100/21.05=x
4.750593824228=x
x=4.750593824228

now we have:
6 is 4.750593824228% of 126.3