676.06 is what percent of 9.658 - 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 9.658 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 9.658, so we can write it down as 100%=9.658.
4. We know, that x% equals 676.06 of the output value, so we can write it down as x%=676.06.
5. Now we have two simple equations:
1) 100%=9.658
2) x%=676.06
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%=9.658/676.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 676.06 is what percent of 9.658

100%/x%=9.658/676.06
(100/x)*x=(9.658/676.06)*x       - we multiply both sides of the equation by x
100=0.014285714285714*x       - we divide both sides of the equation by (0.014285714285714) to get x
100/0.014285714285714=x
7000=x
x=7000

now we have:
676.06 is 7000% of 9.658