515.2 is what percent of 6715.2 - 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 6715.2 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 6715.2, so we can write it down as 100%=6715.2.
4. We know, that x% equals 515.2 of the output value, so we can write it down as x%=515.2.
5. Now we have two simple equations:
1) 100%=6715.2
2) x%=515.2
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%=6715.2/515.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 515.2 is what percent of 6715.2

100%/x%=6715.2/515.2
(100/x)*x=(6715.2/515.2)*x       - we multiply both sides of the equation by x
100=13.034161490683*x       - we divide both sides of the equation by (13.034161490683) to get x
100/13.034161490683=x
7.6721467715035=x
x=7.6721467715035

now we have:
515.2 is 7.6721467715035% of 6715.2