765.05 is what percent of 6443.95 - 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 6443.95 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 6443.95, so we can write it down as 100%=6443.95.
4. We know, that x% equals 765.05 of the output value, so we can write it down as x%=765.05.
5. Now we have two simple equations:
1) 100%=6443.95
2) x%=765.05
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%=6443.95/765.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 765.05 is what percent of 6443.95

100%/x%=6443.95/765.05
(100/x)*x=(6443.95/765.05)*x       - we multiply both sides of the equation by x
100=8.4229135350631*x       - we divide both sides of the equation by (8.4229135350631) to get x
100/8.4229135350631=x
11.872376415087=x
x=11.872376415087

now we have:
765.05 is 11.872376415087% of 6443.95