9.48 is what percent of 8.23 - 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 8.23 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 8.23, so we can write it down as 100%=8.23.
4. We know, that x% equals 9.48 of the output value, so we can write it down as x%=9.48.
5. Now we have two simple equations:
1) 100%=8.23
2) x%=9.48
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%=8.23/9.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.48 is what percent of 8.23

100%/x%=8.23/9.48
(100/x)*x=(8.23/9.48)*x       - we multiply both sides of the equation by x
100=0.86814345991561*x       - we divide both sides of the equation by (0.86814345991561) to get x
100/0.86814345991561=x
115.18833535844=x
x=115.18833535844

now we have:
9.48 is 115.18833535844% of 8.23