6684.4 is what percent of 10048.25 - 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 10048.25 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 10048.25, so we can write it down as 100%=10048.25.
4. We know, that x% equals 6684.4 of the output value, so we can write it down as x%=6684.4.
5. Now we have two simple equations:
1) 100%=10048.25
2) x%=6684.4
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%=10048.25/6684.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6684.4 is what percent of 10048.25

100%/x%=10048.25/6684.4
(100/x)*x=(10048.25/6684.4)*x       - we multiply both sides of the equation by x
100=1.5032388845671*x       - we divide both sides of the equation by (1.5032388845671) to get x
100/1.5032388845671=x
66.523026397631=x
x=66.523026397631

now we have:
6684.4 is 66.523026397631% of 10048.25