7.83 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 7.83 of the output value, so we can write it down as x%=7.83.
5. Now we have two simple equations:
1) 100%=8.25
2) x%=7.83
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%=8.25/7.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.83 is what percent of 8.25

100%/x%=8.25/7.83
(100/x)*x=(8.25/7.83)*x       - we multiply both sides of the equation by x
100=1.0536398467433*x       - we divide both sides of the equation by (1.0536398467433) to get x
100/1.0536398467433=x
94.909090909091=x
x=94.909090909091

now we have:
7.83 is 94.909090909091% of 8.25