660.78 is what percent of 6450 - 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 6450 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 6450, so we can write it down as 100%=6450.
4. We know, that x% equals 660.78 of the output value, so we can write it down as x%=660.78.
5. Now we have two simple equations:
1) 100%=6450
2) x%=660.78
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%=6450/660.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 660.78 is what percent of 6450

100%/x%=6450/660.78
(100/x)*x=(6450/660.78)*x       - we multiply both sides of the equation by x
100=9.7611913193499*x       - we divide both sides of the equation by (9.7611913193499) to get x
100/9.7611913193499=x
10.244651162791=x
x=10.244651162791

now we have:
660.78 is 10.244651162791% of 6450