3 is what percent of 8.625 - 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 8.625 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 8.625, so we can write it down as 100%=8.625.
4. We know, that x% equals 3 of the output value, so we can write it down as x%=3.
5. Now we have two simple equations:
1) 100%=8.625
2) x%=3
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%=8.625/3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3 is what percent of 8.625

100%/x%=8.625/3
(100/x)*x=(8.625/3)*x       - we multiply both sides of the equation by x
100=2.875*x       - we divide both sides of the equation by (2.875) to get x
100/2.875=x
34.782608695652=x
x=34.782608695652

now we have:
3 is 34.782608695652% of 8.625