0.8 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 0.8 of the output value, so we can write it down as x%=0.8.
5. Now we have two simple equations:
1) 100%=8.25
2) x%=0.8
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%=8.25/0.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.8 is what percent of 8.25

100%/x%=8.25/0.8
(100/x)*x=(8.25/0.8)*x       - we multiply both sides of the equation by x
100=10.3125*x       - we divide both sides of the equation by (10.3125) to get x
100/10.3125=x
9.6969696969697=x
x=9.6969696969697

now we have:
0.8 is 9.6969696969697% of 8.25