671.9 is what percent of 6487.5 - 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 6487.5 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 6487.5, so we can write it down as 100%=6487.5.
4. We know, that x% equals 671.9 of the output value, so we can write it down as x%=671.9.
5. Now we have two simple equations:
1) 100%=6487.5
2) x%=671.9
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%=6487.5/671.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 671.9 is what percent of 6487.5

100%/x%=6487.5/671.9
(100/x)*x=(6487.5/671.9)*x       - we multiply both sides of the equation by x
100=9.6554546807561*x       - we divide both sides of the equation by (9.6554546807561) to get x
100/9.6554546807561=x
10.356840077071=x
x=10.356840077071

now we have:
671.9 is 10.356840077071% of 6487.5