9.23 is what percent of 23.45 - 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 23.45 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 23.45, so we can write it down as 100%=23.45.
4. We know, that x% equals 9.23 of the output value, so we can write it down as x%=9.23.
5. Now we have two simple equations:
1) 100%=23.45
2) x%=9.23
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%=23.45/9.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.23 is what percent of 23.45

100%/x%=23.45/9.23
(100/x)*x=(23.45/9.23)*x       - we multiply both sides of the equation by x
100=2.5406283856988*x       - we divide both sides of the equation by (2.5406283856988) to get x
100/2.5406283856988=x
39.360341151386=x
x=39.360341151386

now we have:
9.23 is 39.360341151386% of 23.45