4407.49 is what percent of 6767 - 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 6767 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 6767, so we can write it down as 100%=6767.
4. We know, that x% equals 4407.49 of the output value, so we can write it down as x%=4407.49.
5. Now we have two simple equations:
1) 100%=6767
2) x%=4407.49
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%=6767/4407.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4407.49 is what percent of 6767

100%/x%=6767/4407.49
(100/x)*x=(6767/4407.49)*x       - we multiply both sides of the equation by x
100=1.5353409763834*x       - we divide both sides of the equation by (1.5353409763834) to get x
100/1.5353409763834=x
65.132111718635=x
x=65.132111718635

now we have:
4407.49 is 65.132111718635% of 6767