0.62 is what percent of 8.25 - 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 8.25 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 8.25, so we can write it down as 100%=8.25.
4. We know, that x% equals 0.62 of the output value, so we can write it down as x%=0.62.
5. Now we have two simple equations:
1) 100%=8.25
2) x%=0.62
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%=8.25/0.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.62 is what percent of 8.25

100%/x%=8.25/0.62
(100/x)*x=(8.25/0.62)*x       - we multiply both sides of the equation by x
100=13.306451612903*x       - we divide both sides of the equation by (13.306451612903) to get x
100/13.306451612903=x
7.5151515151515=x
x=7.5151515151515

now we have:
0.62 is 7.5151515151515% of 8.25