What is 8.54 percent of 676.5 - 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 676.5 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 676.5 is 100%, so we can write it down as 676.5=100%.
4. We know, that x is 8.54% of the output value, so we can write it down as x=8.54%.
5. Now we have two simple equations:
1) 676.5=100%
2) x=8.54%
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:
676.5/x=100%/8.54%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 8.54% of 676.5

676.5/x=100/8.54
(676.5/x)*x=(100/8.54)*x       - we multiply both sides of the equation by x
676.5=11.709601873536*x       - we divide both sides of the equation by (11.709601873536) to get x
676.5/11.709601873536=x
57.7731=x
x=57.7731

now we have:
8.54% of 676.5=57.7731