9.68 is what percent of 52.43 - 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 52.43 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 52.43, so we can write it down as 100%=52.43.
4. We know, that x% equals 9.68 of the output value, so we can write it down as x%=9.68.
5. Now we have two simple equations:
1) 100%=52.43
2) x%=9.68
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%=52.43/9.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.68 is what percent of 52.43

100%/x%=52.43/9.68
(100/x)*x=(52.43/9.68)*x       - we multiply both sides of the equation by x
100=5.4163223140496*x       - we divide both sides of the equation by (5.4163223140496) to get x
100/5.4163223140496=x
18.462712187679=x
x=18.462712187679

now we have:
9.68 is 18.462712187679% of 52.43