678.78 is what percent of 10984.09 - 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 10984.09 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 10984.09, so we can write it down as 100%=10984.09.
4. We know, that x% equals 678.78 of the output value, so we can write it down as x%=678.78.
5. Now we have two simple equations:
1) 100%=10984.09
2) x%=678.78
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%=10984.09/678.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 678.78 is what percent of 10984.09

100%/x%=10984.09/678.78
(100/x)*x=(10984.09/678.78)*x       - we multiply both sides of the equation by x
100=16.182106131589*x       - we divide both sides of the equation by (16.182106131589) to get x
100/16.182106131589=x
6.1796653159251=x
x=6.1796653159251

now we have:
678.78 is 6.1796653159251% of 10984.09